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:
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