Question

(25/16)¹/⁴*(27/8)¹/⁶*(2/15)¹/²,Evaluate it.

Answer 1

Hey there!!

( ( 5 ÷ 4 )² ) ^ $\frac{1}{4}$

( ( 3 ÷ 2 )³ ) ^ $\frac{1}{6}$

( 2 ÷ 15 ) ^ $\frac{1}{2}$

( 5 ÷ 4 ) ^ $\frac{1}{2}$

( 3 ÷ 2 ) ^ $\frac{1}{2}$

( 2 ÷ 15 ) ^ $\frac{1}{2}$

Multiply all the bases as the powers are equal

( 30 ÷ 120 ) ^ $\frac{1}{2}$

( 1 ÷ 4 ) ^ $\frac{1}{2}$

square 1 / 2 = square root

root of 1 = 1

root of 4 = 2

Answer = 1 ÷ 2

= 0.5

Hope my answer helps!

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