Question

{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent​

Answer 1

The answer is 5³.

Explanation:

You have to apply Indices Law :

`{a}^(m) * {a}^(n) ⇒ {a}^(m + n)`

`{a}^(m) / {a}^(n)⇒ {a}^(m - n)`

`{ ({a}^(m) )}^(n) = {a}^(mn)`

So for this question :

`( {( {5}^(2)) }^(3) * {5}^(4) ) / {5}^(7)`

`= ( {5}^(6) * {5}^(4) ) / {5}^(7)`

`= {5}^(10) / {5}^(7)`

`= {5}^(3)`