Question

simplify 8^-1×5^3/(2)^-4​

Answer 1

Answer:

1/8 ×5^2/3^4

1/8×5^16/81

Answer 2

Question :

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

Answer :

250.

Explanation :

We know that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

So here,

${8}^{ - 1} = \dfrac{1}{8}$

and

${2}^{ - 4} = \dfrac{1}{ {2}^{4} }$

now by placing these values, we get

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

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

$\dfrac{1}{ {2}^{3} } \times {5}^{3} \times {2}^{4}$

$\dfrac{ {2}^{4} }{ {2}^{3} } \times {5}^{3}$

$\cancel \dfrac{ {2}^{4} }{ {2}^{3} } \times {5}^{3}$

$2 \times {5}^{3}$

$2 \times 5 \times 5 \times 5$

$10 \times 25$

$= 250$

Therefore, on simplification, the answer is 250.