Question

Write without negative exponents (a -2b3)-3(the exponents are -2 3 and -3

Answer 1

Given the expression:

`(a^(-2)b^3)^(-3)`

We apply the product law below:

`(a^x)^y=a^(x* y)`

Therefore, we have:

`\begin{gathered} =a^(-2*-3)* b^(3*-3) \\ =a^6b^(-9) \end{gathered}`

Next, apply the negative exponent law:

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

Thus:

`\begin{gathered} a^6b^(-9)=a^6*(1)/(b^9) \\ =(a^6)/(b^9) \end{gathered}`