Question

The expression (x^10)(x^5)^2 is equivalent to x^k What is the value of k?A) 100B) 30C) 17D) 20

Answer 1

Given:-

$(x^{10})(x^5)^2$

To find the value of x^k.

So now we simplify,

$\begin{gathered} (x^{10})(x^5)^2=x^k \\ (x^{10})(x^{10})=x^k \\ x^{10+10}=x^k \\ x^{20}=x^k \end{gathered}$

Equating the powers, we get,

$k=20$

So the required value of k is 20.