Question

[( ⅖ )²]³ solve the following​

Answer 1

• Question

• $\sf{\bigg[\bigg(\dfrac{2}{5}\bigg)^2\bigg]^3}$

• Solution

$: \implies\sf{\bigg[\bigg(\dfrac{2}{5}\bigg)^{2 \times 3}\bigg]}$

$: \implies\sf{\bigg[\bigg(\dfrac{2}{5}\bigg)^{6}\bigg]}$

$: \implies\sf{\bigg(\dfrac{2}{5}\bigg)^{6}}$

$: \implies\sf{\dfrac{2^{6} }{5^{6}}}$

$: \implies\sf{\dfrac{64 }{15625}}$

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• Know MorE -

$\red{\bigstar}$ Laws of Indices -

• 1st Law (Product Law)

For example -

$: \implies\sf{ {a}^{2} \times {a}^{3} = {a}^{2 + 3} }$

$: \implies\sf{ {a}^{5} }$

• 2nd Law (Quotient law)

For example -

$: \implies\sf{ \dfrac{a^{2} }{a^{3}} }$

$: \implies\sf{a^{2 - 3} }$

$: \implies\sf{a^{ - 1} }$

• 3rd Law (Power law)

For example -

$: \implies\sf{(a^2)^3}$

$: \implies\sf{(a^{2 \times 3})}$

$: \implies\sf{(a^{6})}$