Question

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

Answer 1

Answer:

The answer is 5³.

Step-by-step explanation:

You have to apply Indices Law :

${a}^{m} \times {a}^{n} ⇒ {a}^{m + n}$

${a}^{m} \div {a}^{n}⇒ {a}^{m - n}$

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

So for this question :

$( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7}$

$= ( {5}^{6} \times {5}^{4} ) \div {5}^{7}$

$= {5}^{10} \div {5}^{7}$

$= {5}^{3}$