Question

Write the expression with positive exponents. 3a^-1 c^-3Simplify your answer.

Answer 1

`=(3)/(ac^3)`

Explanation:

We have the expression:

`3a^(-1)c^(-3)`

We know that

`x^(-1)=(1)/(x)`

Then, we can write the expression using the positive expoents:

`\begin{gathered} 3a^(-1)c^(-3) \\ =3\cdot(1)/(a^1)\cdot(1)/(c^3) \end{gathered}`

Now, we can multiply the factors:

`\begin{gathered} =(3\cdot1\cdot1)/(1\cdot a\cdot c^3) \\ =(3)/(ac^3) \end{gathered}`