Question

laws of exponent : multiplication and power to a powerquestion one >>-(mn -²)⁴question 2 >>(x²y³)⁵

Answer 1

Answer:

Simplifying the given expression we have;

$-(m^4n^{-8})=-\frac{m^4}{n^8}$

Explanation:

Given the expression;

$-(mn^{-2})^4$

Recall that form the laws of exponents;

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

So, for the given expression;

$\begin{gathered} -(mn^{-2})^4=-(m)^4(n^{-2})^4 \\ =-(m^4\cdot n^{-2\times4}) \\ =-(m^4n^{-8}) \end{gathered}$

Therefore, simplifying the expression we have;

$-(m^4n^{-8})=-\frac{m^4}{n^8}$