Question

simplify the following question
(5²)³÷5³​

Answer 1

Answer:

(5²)³/5³

=5⁶/5³

=5³

=125

Answer 2

We know

in division when bases are same powers are subtracted.

Short method

power ki power = power multiple

$\implies \: {5}^{2 \times 3} \div {5}^{3}$

$\implies \: {5}^{6} \div {5}^{3}$

$\implies \: {(5)}^{6 - 3}$

$\implies \: {5}^{3}$

= 5 × 5 × 5

= 125

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