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Answer :

Answer:

32

Step-by-step explanation:

The number that has the same value as [tex](4^{-1})(2^3 \div 4^{-2})[/tex] is 32

The numeric expression is given as:

[tex](4^{-1})(2^3 \div 4^{-2})[/tex]

Evaluate the exponents

[tex](4^{-1})(2^3 \div 4^{-2}) = \frac 14 * 8 \div \frac 1{16}[/tex]

Express as products

[tex](4^{-1})(2^3 \div 4^{-2}) = \frac 14 * 8 * 16[/tex]

Evaluate the products

[tex](4^{-1})(2^3 \div 4^{-2}) =32[/tex]

Hence, the number that has the same value as [tex](4^{-1})(2^3 \div 4^{-2})[/tex] is 32

Read more about equivalent expressions at:

https://brainly.com/question/2972832