Question

What is the value of ( 5²*258/625

Answer 1

here this answer

(5^2*25^8/625)=[5^2*(25^8/25^2)]

=(5^2*25^6)=(25*25^6)=(25^7) …(i)

( as 625 = 25^2 & 5^2 =25)

Now, (5^2*25^8/625)^(2/7)=

(25^7)^(2/7) (from (i))

=25^[(7*2)/7]= 25^2 = 625

So, the required answer is 625.

I HOPE IT IS HELPFUL TO YOU

Answer 2

The value of the given expression is 625.

Given,

(5²×25⁸/625)$^{\frac{2}{7} }$.

To Find,

The value of the given Expression.

Solution,

The expression given is :

= (5²×25⁸/625)$^{\frac{2}{7} }$.

= (5²×25⁸ / 25²)$^{\frac{2}{7} }$.

= (25 × 25⁶)$^{\frac{2}{7} }$.

= (25⁷)$^{\frac{2}{7} }$.

= 25⁷*$^{\frac{2}{7} }$.

= 25²

= 625.

The value of the given expression is 625.

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