Question

Evaluate 8^-1 ×5^3/2^-4​

Answer 1

${8}^{ - 1} \times {5}^{3} \div {2}^{ - 4}$

$= {5}^{3} \times {2}^{4} \div {8}^{1}$

$= 125 \times 16 \div 8$

$divide \: 16 \: from \: 8$

$= 125 \times 2$

$= 250$

This is the answer

It may help you

Answer 2

Answer:

$\frac{ {8}^{ - 1} \times {5}^{3} }{ {2}^{ - 4} } \\ = \frac{ {2}^{4} \times {5}^{3} }{ {8}^{1} } \\ = \frac{ {2}^{4} \times {5}^{3} }{ { ({2}^{3}) }^{1} } \\ = \frac{ {2}^{4} \times {5}^{3} }{ {(2)}^{3 \times 1} } \\ = \frac{ {2}^{4} \times {5}^{3} }{ {2}^{3} } \\ = {(2)}^{4 - 3} \times {5}^{3} \\ = {2}^{1} \times {5}^{3} \\ = 2 \times 125 \\ = \: \underline{ \underline{ \large 250}}$