Question

[-1/2]^5 × [-1/2]^8 = (-2)^x​

Answer 1

Answer:

please refer to the attachment

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Answer 2

$\bigg( \dfrac{ - 1}{2}\bigg)^{5} \: \times \: \bigg( \dfrac{ - 1}{2} \bigg)^{8} = \: ( { - 2)}^{x}$

__________ [ GIVEN ]

• We have to find the value of x.

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$\rightarrow \: \bigg( \dfrac{ - 1}{2}\bigg)^{5} \: \times \: \bigg( \dfrac{ - 1}{2} \bigg)^{8} = \: ( { - 2)}^{x}$

$\rightarrow \: \bigg( \dfrac{ - 1}{2}\bigg)^{5 + 8} \: = \: ( { - 2)}^{x}$

$\rightarrow \: \bigg( \dfrac{ - 1}{2}\bigg)^{13} \: = \: ( { - 2)}^{x}$

$\rightarrow\:(-2)^{-13}\:=\:({-2)}^{x}$

- 2 throughout cancel

$\rightarrow\:-\:13\:=\:x$

$\rightarrow\:x\:=\:-\:13$

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x = -13

________ [ ANSWER ]

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