Question

Please help me to solve this question....
4 Power 0.5 × 0.5 power 4 equals ??​

Answer 1

The value of$4^{0.5} \times 0.5^{4}$ is "$\dfrac{1}8}$".

Step-by-step explanation:

We have,

$4^{0.5} \times 0.5^{4}$

= $(2^{2}) ^{0.5} \times (\frac{1}{2} )^{4}$

= $2^{2\times 0.5} \times (\frac{1}{2} )^{4}$

[Since, $a^{m^{n} }$ = $a^{mn}$]

=$2^{1} \times \dfrac{1}{2^{4} }$

= 2 × $\dfrac{1}{16}$

= $\dfrac{1}8}$

Hence, the value of$4^{0.5} \times 0.5^{4}$ is $\dfrac{1}8}$.