Question

Find the value of
$(5^2{)}^3\times [5^6÷5^3]$

Answer 1

${\left(5^2\right)}^3\times [5^6÷5^3]$

$=5^6\times \frac{5^6}{5^3}$ using ${\left(a^m\right)}^n=a^{mn}$

$=5^6\times 5^{6-3}$ using $\frac{a^m}{a^n}=a^{m-n}$

$=5^6\times 5^3$

$=5^{6+3}$ using $a^m\times a^n=a^{m+n}$

$=5^9$