Question

Need answer to this problem

Answer 1

Distribute the exponent in the numerator:

$\dfrac{(10w^3)^2}{5w}=\dfrac{10^2w^6}{5w}$

Then if $w\neq0$, we can cancel one of each $w$ in the numerator and denominator:

$\dfrac{10^2w^6}{5w}=\dfrac{10^2w^5}5$

Finally, the square of 10 is 100, and 100 divided by 5 is 20, so we're left with (C),

$20w^5$