Question

-5
Which expression is equivalent to
(2^3)^-5?

Answer 1

`\huge\text{Hey there!}`

`\large\boxed{\mathsf{(2^3)^(-5)}}}\\\\\mathsf{2^3}\\\mathsf{= 2*2*2}\\\mathsf{= 4*2}\\\mathsf{= 8}\\\\\large\boxed{\mathsf{8^(-5)}}\\\mathsf{\rightarrow \mathsf{(1)/(8*8*8*8*8)}}\\\\\large\boxed{\rightarrow \mathsf{(1)/(6 4*6 4* 8)}}\\\\\large\boxed{\mathsf{\rightarrow (1)/(4,096*8)}}`

`\large\boxed{\mathsf{\rightarrow (1)/(32,768)}}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{(1)/(32,768)}}}}}`

`\huge\textbf{or \boxed{\mathsf{8^(-5)}}}\huge\checkmark`

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