Question

how to solve 800×0.1^5/2​

Answer 1

hope this answer helps you

Answer 2

The value of 800 × $0.1^\dfrac{5}{2}$ = $\dfrac{800}{\sqrt{10} }$

Step-by-step explanation:

We have,

800 × $0.1^\dfrac{5}{2}$

To find, the value of 800 × $0.1^\dfrac{5}{2}$ = ?

∴ 800 × $0.1^\dfrac{5}{2}$

= 800 × $(\dfrac{1}{10} )^\dfrac{5}{2}$

Using the exponential identity,

$(\dfrac{a}{b})^m=\dfrac{a^m}{b^m}$

= 800 × $(\dfrac{1^{\dfrac{5}{2}}}{10^{\dfrac{5}{2}}} )$

= 800 × $\dfrac{1}{100\times 10^\dfrac{1}{2}}}$

= 800 × $\dfrac{1}{10^{\dfrac{1}{2} }}$

= $\dfrac{800}{\sqrt{10} }$

∴ The value of 800 × $0.1^\dfrac{5}{2}$ = $\dfrac{800}{\sqrt{10} }$

Thus, the value of 800 × $0.1^\dfrac{5}{2}$ is equal to $\dfrac{800}{\sqrt{10} }$,