Question

Simplify and express the given exponential form: $\frac{(5^2{)}^3\times 5^4}{5^7}$

Answer 1

$\left(\right(5^2{)}^3\times 5^4)÷5^7=\frac{5^6\times 5^4}{5^7}$

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

$=5^{10-7}$

$=5^3$

Formule:

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

Ii). $a^m\times a^n=a^{m+n}$

Iii). $a^m÷a^n=a^{m-n}$