Question

Simplify the following [(5²)³×5⁴]÷5⁷

Answer 1

Solution :

[(5²)³ × 5⁴] ÷5⁷

$= > ( {5}^{2 \times 3 } \times {5}^{4} ) ÷ {5}^{7}$

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

$= > ({5}^{6 + 4} ) ÷ {5}^{7}$

$= > {5}^{10} ÷ {5}^{7}$

$= > {5}^{10 - 7}$

$= > {5}^{3} .$