Question

Simplify (5m4n-³)³. 4 is Exponents.

Answer 1

$\frac{32000 {m}^{3} }{ {n}^{9} }$

Step-by-step explanation:

$Given, \: \: (5m4n^{ - 3} )^{3} .4 \\ = ( \frac{5m \times 4}{{n}^{3} } ) ^{3} \times 4 \\ = \frac{5^{3} \times {m}^{3} \times {4}^{3} }{ {n}^{3 \times 3} } \times 4 \\ = \frac{125 \times {m}^{3} \times 64 \times 4 }{ {n}^{9} } \\ = \frac{32000 {m}^{3} }{ {n}^{9} }$