Question

625¹/⁴ , Solve this expression?

Answer 1

we know
$625 = {5}^{4}$
so
${ ({5}^{4}) }^{ \frac{1}{4} } \\ = {(5)}^{4 \times \frac{1}{4} } \\ = {(5)}^{1} \\ = 5$
so the answer is 5.


hope u understand.



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Answer 2

Given 625^1/4

Resolving 625 as product

of prime numbers.

5 | 625

______

5 | 125

______

5 | 25

______

****5

625 = 5⁴

Now ,

( 625 )^1/4

= ( 5⁴ )^1/4

= 5^ ( 4 × 1/4 )

[ Since , ( a^m )ⁿ = a^mn ]

= 5

Therefore ,

( 625 )^1/4 = 5

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