Question

by what number should (5/6)^-3 be divided so the quiotent be 6^3*5^-2

answer with steps asap

Answer 1

$\frac{5}{6}^{-3} =$ $\frac{216}{125}$

$6^3 \times 5^{-2} =$ $= \frac{216}{25}$

$\frac{216}{125} \times x = \frac{216}{25}$

$x = \frac{216}{25} \times \frac{125}{216}$

$x = 5$

Hence the number should be divided by $\frac{1}{5}$