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Ipatiy [6.2K]
3 years ago
13

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

Mathematics
1 answer:
kompoz [17]3 years ago
5 0

\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:)}

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