Question

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

Answer 1

$\huge\text{Hey there!}$

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

$\large\boxed{\mathsf{\rightarrow \dfrac{1}{32,768}}}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{\dfrac{1}{32,768}}}}}}$

$\huge\textbf{or \boxed{\mathsf{8^{-5}}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$