Question

The value of ${\left(625\right)}^{0.16}\times (625{)}^{0.09}$ is

• A. 4
• B. 5
• C. 25
• D. 625

Answer 1

The correct option is B 5

We have,

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

We know that

$a^m\times a^n=a^{m+n}$

Therefore,

$\Rightarrow (625{)}^{0.16+0.09}$

$\Rightarrow (625{)}^{0.25}$

$\Rightarrow (5^4{)}^{0.25}$

$\Rightarrow (5{)}^{4\times 0.25}$

$\Rightarrow (5{)}^1$

$\Rightarrow 5$

Hence, this is the answer.