Rewrite the expression 1 2 z − 5 \frac { 1 } { 2 z ^ { - 5 } } 2 z − 5 1 using only positive exponents. Assume that z is not zero.A) 32 z 5 32 z ^ { 5 } 32 z 5 B) − z 5 2 - \frac { z ^ { 5 } } { 2 } − 2 z 5 C) z 5 2 \frac { z ^ { 5 } } { 2 } 2 z 5 D) 2 z 5 2 z ^ { 5 } 2 z 5 E) - 2 z 5 2 z ^ { 5 } 2 z 5

Question

Rewrite the expression   1 2 z − 5 \frac { 1 } { 2 z ^ { - 5 } } 2 z − 5 1 ​   using only positive exponents. Assume that z is not zero.A)    32 z 5 32 z ^ { 5 } 32 z 5 B)    − z 5 2 - \frac { z ^ { 5 } } { 2 } − 2 z 5 ​ C)    z 5 2 \frac { z ^ { 5 } } { 2 } 2 z 5 ​ D)    2 z 5 2 z ^ { 5 } 2 z 5 E)  -   2 z 5 2 z ^ { 5 } 2 z 5

Danyelle Tolud · Accepted Answer

Final Answer : C, Explanation :   To rewrite the given expression with positive exponents, we can start by moving the negative exponent from the denominator to the numerator by changing its sign:   1 2 z − 5 = 2 z 5 . \frac{1}{2z^{-5}} = 2z^5. 2 z − 5 1 ​ = 2 z 5 .   Therefore, the correct answer is choice C.

Rewrite the expression $12z−5\frac { 1 } { 2 z ^ { - 5 } }$ using only positive exponents. Assume that z is not zero.

A) $32 z ^ { 5 }$
B) $\frac { z ^ { 5 } } { 2 }$
C) $z52\frac { z ^ { 5 } } { 2 }$
D) $2 z ^ { 5 }$
E) - $2 z ^ { 5 }$

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Rewrite the expression 12z−5\frac { 1 } { 2 z ^ { - 5 } }2z−51​ using only positive exponents. Assume that z is not zero.A) 32z532 z ^ { 5 }32z5 B) −z52- \frac { z ^ { 5 } } { 2 }−2z5​ C) z52\frac { z ^ { 5 } } { 2 }2z5​ D) 2z52 z ^ { 5 }2z5 E) - 2z52 z ^ { 5 }2z5

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Learning Objectives

Learning Objectives

Related questions

Rewrite the expression $12z−5\frac { 1 } { 2 z ^ { - 5 } }$ using only positive exponents. Assume that z is not zero.

A) $32 z ^ { 5 }$
B) $\frac { z ^ { 5 } } { 2 }$
C) $z52\frac { z ^ { 5 } } { 2 }$
D) $2 z ^ { 5 }$
E) - $2 z ^ { 5 }$