Filters
Question type

Study Flashcards

Perform the indicated calculation. Express your answer using scientific notation. - (0.0000000064) (160,000,000,000) ( 0.0000000064 ) ( 160,000,000,000 )


A) 1.02×1041.02 \times 10 ^ { 4 }
B) 1.02×1031.02 \times 10 ^ { 3 }
C) 1.02×1031.02 \times 10 ^ { - 3 }
D) 1.02×1021.02 \times 10 ^ { 2 }

E) All of the above
F) A) and B)

Correct Answer

verifed

verified

Multiply. - 5(x+9) 5 ( x + 9 )


A) 5x+455 x + 45
B) x+45x + 45
C) 45x45 \mathrm { x }
D) 5x+95 x + 9

E) C) and D)
F) A) and C)

Correct Answer

verifed

verified

Convert the given number to scientific notation. -1,086,000,000,000,000,000


A) 1086×1015 1086 \times 10^{15}
B) 1.086×1018 1.086 \times 10^{18}
C) 1.086×1018 1.086 \times 10^{-18}
D) 1086×1015 1086 \times 10^{-15}

E) B) and D)
F) A) and B)

Correct Answer

verifed

verified

Rewrite the expression without using negative exponents. (Assume all variables represent nonzero real numbers.) - 8a5b8c3d4\frac { 8 a ^ { - 5 } b ^ { - 8 } } { c ^ { - 3 } d ^ { 4 } }


A) c38a5b8d4\frac { c ^ { 3 } } { 8 a ^ { 5 } b ^ { 8 } d ^ { 4 } }

B) 8c3a5b8d4\frac { 8 c ^ { 3 } } { a ^ { 5 } b ^ { 8 } d ^ { 4 } }

C) 8c3d4a5b8\frac { 8 c ^ { 3 } d ^ { 4 } } { a ^ { 5 } b ^ { 8 } }

D) 18a5b8c3d4\frac { 1 } { 8 a ^ { 5 } b ^ { 8 } c ^ { 3 } d ^ { 4 } }

E) C) and D)
F) A) and D)

Correct Answer

verifed

verified

Multiply. - 5x5y39x8y- 5 x ^ { 5 } y ^ { 3 } \cdot 9 x ^ { 8 } y


A) 4x13y44 x ^ { 13 } y ^ { 4 }
B) 45x13y4- 45 x ^ { 13 } y ^ { 4 }
C) 4x40y34 x ^ { 40 } y ^ { 3 }
D) 45x13y3- 45 \mathrm { x } ^{13} \mathrm { y }^ 3

E) None of the above
F) A) and D)

Correct Answer

verifed

verified

Rewrite the expression without using negative exponents. (Assume all variables represent nonzero real numbers.) - 6m4- 6 m ^ { - 4 }


A) 6m4- \frac { 6 } { m ^ { 4 } }

B) 11296m4\frac { 1 } { 1296 m ^ { 4 } }

C) 11296m4- \frac { 1 } { 1296 m ^ { 4 } }

D) 1296 m4\frac { 1296 } { \mathrm {~m} ^ { 4 } }

E) C) and D)
F) All of the above

Correct Answer

verifed

verified

     - \left( \frac { 2 } { x } \right)  ^ { 3 }  A)   \frac { 8 } { x }  B)   8 x ^ { 3 }  C)   \frac { 2 } { x ^ { 3 } }  D)   \frac { 8 } { x ^ { 3 } }      - \left( \frac { 2 } { x } \right)  ^ { 3 }  A)   \frac { 8 } { x }  B)   8 x ^ { 3 }  C)   \frac { 2 } { x ^ { 3 } }  D)   \frac { 8 } { x ^ { 3 } } - (2x) 3\left( \frac { 2 } { x } \right) ^ { 3 }


A) 8x\frac { 8 } { x }
B) 8x38 x ^ { 3 }
C) 2x3\frac { 2 } { x ^ { 3 } }
D) 8x3\frac { 8 } { x ^ { 3 } }

E) B) and C)
F) A) and B)

Correct Answer

verifed

verified

Add or subtract. - (7x89x4+5x2+8) +(5x7+7x46x) \left( 7 x ^ { 8 } - 9 x ^ { 4 } + 5 x ^ { 2 } + 8 \right) + \left( 5 x ^ { 7 } + 7 x ^ { 4 } - 6 x \right)


A) 12x816x4+5x26x+812 x ^ { 8 } - 16 x ^ { 4 } + 5 x ^ { 2 } - 6 x + 8
B) 7x8+5x7+2x4+5x26x+87 x ^ { 8 } + 5 x ^ { 7 } + 2 x ^ { 4 } + 5 x ^ { 2 } - 6 x + 8
C) 7x8+5x72x4+5x26x+87 x ^ { 8 } + 5 x ^ { 7 } - 2 x ^ { 4 } + 5 x ^ { 2 } - 6 x + 8
D) 12x82x4+5x26x+812 x ^ { 8 } - 2 x ^ { 4 } + 5 x ^ { 2 } - 6 x + 8

E) A) and C)
F) A) and B)

Correct Answer

verifed

verified

Divide. Assume all variables are nonzero. - 56x7+63x256x7x\frac { 56 x ^ { 7 } + 63 x ^ { 2 } - 56 x } { 7 x }


A) 8x7+9x28x8 x ^ { 7 } + 9 x ^ { 2 } - 8 x
B) 8x6+9x88 x ^ { 6 } + 9 x - 8
C) 56x6+63x5656 x ^ { 6 } + 63 x - 56
D) 8x7+63x256x8 x ^ { 7 } + 63 x ^ { 2 } - 56 x

E) A) and B)
F) B) and C)

Correct Answer

verifed

verified

Multiply. - 4a4b3c8bc5d24 a ^ { 4 } b ^ { 3 } c \cdot 8 b c ^ { 5 } d ^ { 2 }


A) 32a4b3c5d232 a ^ { 4 } b ^ { 3 } c ^ { 5 } d ^ { 2 }
B) 12a4b4c6d212 a ^ { 4 } b ^ { 4 } c ^ { 6 } d ^ { 2 }
C) 32a4b4c6d232 a ^ { 4 } b ^ { 4 } c ^ { 6 } d ^ { 2 }
D) 32a4b2c4d232 a ^ { 4 } b ^ { 2 } c ^ { 4 } d ^ { 2 }

E) A) and B)
F) None of the above

Correct Answer

verifed

verified

Evaluate the polynomial or polynomial function for the given value of the variable. - g(x) =10x2+4x+5,g(2) g ( x ) = - 10 x ^ { 2 } + 4 x + 5 , g ( 2 )


A) 27- 27
B) 37- 37
C) 31- 31
D) 7- 7

E) None of the above
F) A) and B)

Correct Answer

verifed

verified

     - \left( \frac { a ^ { 2 } b ^ { 5 } } { b ^ { 2 } c ^ { 5 } } \right)  ^ { 8 }  A)  0 B)   \frac { a ^ { 16 } b ^ { 24 } } { c ^ { 40 } }  C)   \frac { a ^ { 16 } } { c ^ { 40 } }  D)   \frac { a ^ { 10 } b ^ { 24 } } { c ^ { 13 } }      - \left( \frac { a ^ { 2 } b ^ { 5 } } { b ^ { 2 } c ^ { 5 } } \right)  ^ { 8 }  A)  0 B)   \frac { a ^ { 16 } b ^ { 24 } } { c ^ { 40 } }  C)   \frac { a ^ { 16 } } { c ^ { 40 } }  D)   \frac { a ^ { 10 } b ^ { 24 } } { c ^ { 13 } } - (a2b5b2c5) 8\left( \frac { a ^ { 2 } b ^ { 5 } } { b ^ { 2 } c ^ { 5 } } \right) ^ { 8 }


A) 0
B) a16b24c40\frac { a ^ { 16 } b ^ { 24 } } { c ^ { 40 } }
C) a16c40\frac { a ^ { 16 } } { c ^ { 40 } }
D) a10b24c13\frac { a ^ { 10 } b ^ { 24 } } { c ^ { 13 } }

E) A) and B)
F) All of the above

Correct Answer

verifed

verified

Simplify. - x9 ∙ x3


A) x27x ^ { 27 }
B) x12x ^ { 12 }
C) (2x) 12( 2 x ) ^ { 12 }
D) (2x) 27( 2 x ) ^ { 27 }

E) A) and B)
F) A) and C)

Correct Answer

verifed

verified

Divide using long division. - x3+8x+2\frac { x ^ { 3 } + 8 } { x + 2 }


A) x22x+4x ^ { 2 } - 2 x + 4
B) x24x+2x ^ { 2 } - 4 x + 2
C) x2+4x ^ { 2 } + 4
D) x22x ^ { 2 } - 2

E) B) and C)
F) None of the above

Correct Answer

verifed

verified

     - \left( \frac { a ^ { 4 } } { b ^ { 5 } } \right)  ^ { 4 }  A)   \frac { a ^ { 5 } } { b ^ { 20 } }  B)   \frac { a ^ { 16 } } { b ^ { 5 } }  C)   \frac { a ^ { 20 } } { b ^ { 16 } }  D)   \frac { a ^ { 16 } } { b ^ { 20 } }      - \left( \frac { a ^ { 4 } } { b ^ { 5 } } \right)  ^ { 4 }  A)   \frac { a ^ { 5 } } { b ^ { 20 } }  B)   \frac { a ^ { 16 } } { b ^ { 5 } }  C)   \frac { a ^ { 20 } } { b ^ { 16 } }  D)   \frac { a ^ { 16 } } { b ^ { 20 } } - (a4b5) 4\left( \frac { a ^ { 4 } } { b ^ { 5 } } \right) ^ { 4 }


A) a5b20\frac { a ^ { 5 } } { b ^ { 20 } }
B) a16b5\frac { a ^ { 16 } } { b ^ { 5 } }
C) a20b16\frac { a ^ { 20 } } { b ^ { 16 } }
D) a16b20\frac { a ^ { 16 } } { b ^ { 20 } }

E) A) and D)
F) A) and C)

Correct Answer

verifed

verified

Rewrite the expression without using negative exponents. (Assume all variables represent nonzero real numbers.) - 525 - 2


A) 110\frac { 1 } { 10 }
B) 125\frac { 1 } { 25 }
C) 25
D) 25- 25

E) A) and C)
F) None of the above

Correct Answer

verifed

verified

For the given functions f(x) and g(x) , perform the indicated operation. - f(x) =(3x6+9x32) ,g(x) =(7x6+5x3+7) f ( x ) = \left( 3 x ^ { 6 } + 9 x ^ { 3 } - 2 \right) , g ( x ) = \left( 7 x ^ { 6 } + 5 x ^ { 3 } + 7 \right) Find f(x) +g(x) f ( x ) + g ( x ) .


A) 10x6+14x3+510 x ^ { 6 } + 14 x ^ { 3 } + 5
B) 14x6+5x3+1014 x ^ { 6 } + 5 x ^ { 3 } + 10
C) 29x929 \mathrm { x } ^ { 9 }
D) 5x6+8x3+165 x ^ { 6 } + 8 x ^ { 3 } + 16

E) B) and D)
F) B) and C)

Correct Answer

verifed

verified

Add or subtract. - (8x26x+20) (4x2+5x40) \left( 8 x ^ { 2 } - 6 x + 20 \right) - \left( 4 x ^ { 2 } + 5 x - 40 \right)


A) 4x211x+604 x ^ { 2 } - 11 x + 60
B) 4x211x+604 x ^ { 2 } - - 11 x + 60
C) 4x211x204 x ^ { 2 } - 11 x - 20
D) 4x2+11x+604 x ^ { 2 } + 11 x + 60

E) All of the above
F) A) and D)

Correct Answer

verifed

verified

Multiply. - 9y(2y4) - 9 y \left( - 2 y ^ { 4 } \right)


A) 9y2y49 y - 2 y ^ { 4 }
B) 18y518 y ^ { 5 }
C) 18y5- 18 y ^ { 5 }
D) 11y4- 11 y ^ { 4 }

E) A) and B)
F) A) and C)

Correct Answer

verifed

verified

Rewrite the expression without using negative exponents. (Assume all variables represent nonzero real numbers.) - x8y4\frac { x ^ { - 8 } } { y ^ { - 4 } }


A) y4x8\frac { y ^ { 4 } } { x ^ { 8 } }
B) xy12x y ^ { - 12 }
C) x8y4x ^ { 8 } y ^ { 4 }
D) 1x8y4\frac { 1 } { x ^ { 8 } y ^ { 4 } }

E) All of the above
F) A) and D)

Correct Answer

verifed

verified

Showing 121 - 140 of 230

Related Exams

Show Answer