Find the value of ( − 2 ) − 5 ( - 2 ) ^ { - 5 } ( − 2 ) − 5 .A) 1 32 \frac { 1 } { 32 } 32 1 B) -10C) 10D) 7 , 5 7,5 7 , 5 E) - 1 32 \frac { 1 } { 32 } 32 1

Question

Find the value of   ( − 2 )  − 5 ( - 2 )  ^ { - 5 } ( − 2 )  − 5   .A)    1 32 \frac { 1 } { 32 } 32 1 ​ B)  -10C)  10D)    7 , 5 7,5 7 , 5 E)  -   1 32 \frac { 1 } { 32 } 32 1 ​

Elias Herrera · Accepted Answer

Final Answer : E, Explanation :   We can rewrite   ( − 2 ) − 5  ( - 2 ) ^ { - 5 }  ( − 2 ) − 5   as   1 ( − 2 ) 5  \frac{1}{( - 2 ) ^ { 5 }}  ( − 2 ) 5 1 ​  . Since   ( − 2 ) 5 = − 32  ( - 2 ) ^ { 5 } = -32  ( − 2 ) 5 = − 32  , we get   1 ( − 2 ) 5 = 1 − 32 = − 1 32  \frac{1}{( - 2 ) ^ { 5 }} = \frac{1}{-32} = - \frac { 1 } {32}  ( − 2 ) 5 1 ​ = − 32 1 ​ = − 32 1 ​  . Thus, the answer is (E).

Find the value of $2 ) ^ { - 5 }$ .

A) $132\frac { 1 } { 32 }$
B) -10
C) 10
D) $7, 5$
E) - $132\frac { 1 } { 32 }$

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Learning Objectives

Related questions

Find the value of (−2) −5( - 2 ) ^ { - 5 }(−2) −5 .A) 132\frac { 1 } { 32 }321​ B) -10C) 10D) 7,57,57,5 E) - 132\frac { 1 } { 32 }321​

Definitions

Learning Objectives

Learning Objectives

Related questions

Find the value of $2 ) ^ { - 5 }$ .

A) $132\frac { 1 } { 32 }$
B) -10
C) 10
D) $7, 5$
E) - $132\frac { 1 } { 32 }$