Question

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

Answer 1

Simplifying the given expression we have;

`-(m^4n^(-8))=-(m^4)/(n^8)`

Step-by-step explanation:

Given the expression;

`-(mn^(-2))^4`

Recall that form the laws of exponents;

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

So, for the given expression;

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

Therefore, simplifying the expression we have;

`-(m^4n^(-8))=-(m^4)/(n^8)`