Question

How do i write these problems in exponential form 9. (qt^3)^7

Answer 1

q⁷t²¹

Step-by-step explanation:

To write it in the exponential form, we will use the following properties

`\begin{gathered} (ab)^x_{}=a^x\cdot b^x \\ (a^x)^y=a^(x\cdot y) \end{gathered}`

Therefore, applying the first property, we get:

`(qt^3)^7=q^7\cdot(t^3)^7`

Then, we can apply the second property to get:

`(qt^3)^7=q^7\cdot t^(3\cdot7)=q^7t^(21)`

So, the answer is:

q⁷t²¹