(625)^ 0.16 (625)^ 0.09 = - Vidyadip

MCQ

$(625)^{0.16} \times(625)^{0.09}=$

A
$25$
B
$625$
C
$125$
✓
$5$

✓

Answer

Correct option: D.

$5$

$(625)^{0.16} \times(625)^{0.09}$
$(625)^{0.16+09}$
$(625)^{0.25}$ or $(625)^{\frac{1}{4}}$
But $625=5^4$
So, $(5^4)^{\frac{1}{4}}=5$

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