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:

$(a^x)^y=a^{x\times y}$

Therefore, we have:

$\begin{gathered} =a^{-2\times-3}\times b^{3\times-3} \\ =a^6b^{-9} \end{gathered}$

Next, apply the negative exponent law:

$a^{-x}=\frac{1}{a^x}$

Thus:

$\begin{gathered} a^6b^{-9}=a^6\times\frac{1}{b^9} \\ =\frac{a^6}{b^9} \end{gathered}$