1.

Refer to the attachment and answer correctly​

Answer»

⟹\dfrac{\sqrt[4]{1250} }{ \sqrt[4]{2} }

⟹\dfrac{ {(1250)}^{ \frac{1}{4} } }{ {(2)}^{ \frac{1}{4} } }

⟹{ (\dfrac{1250}{2}) }^{ \frac{1}{4} }

Now , 625×2 = 1250

⟹{ (625) }^{ \frac{1}{4} }

we KNOW :- 625= 5×5×5×5 = 5⁴

⟹{ (5 \times 5 \times 5 \times 5) }^{ \frac{1}{4} }

⟹{( {5}^{4} )}^{ \frac{1}{4} }

⟹{( 5) }^{ \frac{1}{4} \times 4}

⟹5

Answer :- 5

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Laws of EXPONENT :-

1)a^m \times a^n= {a}^{(m + n)}

2) {( {a}^{m})}^{n} = {a}^{mn}

3) {ab}^{n} = {a}^{n} {b}^{n}

4) \frac{ {(a)}^{m} }{ {(a)}^{n} } = {a}^{m - n}

5) {a}^{ - b} = \frac{1}{ {a}^{b} }

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