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.