Question

evaluate: (4/3) raise to power –3 divided by (1/3)raise to power–2

plz give me correct answers​

Answer 1

Answer:

(3/64)

${ (\frac{(4)}{(3)}) }^{ - 3} \div { (\frac{1}{3} )}^{ - 2} \\ \\ = { (\frac{3}{4} )}^{3} \div { (\frac{3}{1}) }^{2} \\ \\ = ({3}^{3} \div {3}^{2} ) \: \times ( \frac{1}{ {4}^{3} } ) \\ \\ \\ = \: ( {3}^{3 - 2} ) \times \frac{1}{ {4}^{3} } \\ \\ = \: 3 \times \frac{1}{ {4}^{3} } \\ \\ = \: \frac{3}{ {4}^{3} } \\ \\ \\ = \: \frac{3}{64}$