YuganT371061 YuganT371061
  • 03-11-2022
  • Mathematics
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laws of exponent : multiplication and power to a powerquestion one >>-(mn -²)⁴question 2 >>(x²y³)⁵

laws of exponent multiplication and power to a powerquestion one gtgtmn question 2 gtgtxy class=

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KerolosI126992 KerolosI126992
  • 03-11-2022

Answer:

Simplifying the given expression we have;

[tex]-(m^4n^{-8})=-\frac{m^4}{n^8}[/tex]

Explanation:

Given the expression;

[tex]-(mn^{-2})^4[/tex]

Recall that form the laws of exponents;

[tex](x^a)^b=x^{a\times b}[/tex]

So, for the given expression;

[tex]\begin{gathered} -(mn^{-2})^4=-(m)^4(n^{-2})^4 \\ =-(m^4\cdot n^{-2\times4}) \\ =-(m^4n^{-8}) \end{gathered}[/tex]

Therefore, simplifying the expression we have;

[tex]-(m^4n^{-8})=-\frac{m^4}{n^8}[/tex]

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