Question

simplify and express in exponential form(125)^3÷5^4​

Answer 1

Answer:

$\frac{ {125}^{3} }{ {5}^{4} } \\ = \frac{ { ({5}^{3}) }^{3} }{ {5}^{4} } \\ = \frac{ {(5)}^{3 \times 3} }{ {5}^{4} } \\ = \frac{ {5}^{9} }{ {5}^{4} } \\ = {(5)}^{9 - 4} \\ \large{ \boxed{ = \underline{ \underline{ {5}^{5} }}}} \\ \\ \large{ \underline{Note} : } \\ \bullet \: \: \: \frac{ {a}^{m} }{ {a}^{n} } = {(a)}^{m - n} \\ \bullet \: \: \: { ({a}^{m}) }^{n} = {(a)}^{m \times n} = {(a)}^{mn}$