ColbiX383587 ColbiX383587
  • 29-10-2022
  • Mathematics
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simplify the expression write the result using positive exponents only assume that all bases are not equal to zero

simplify the expression write the result using positive exponents only assume that all bases are not equal to zero class=

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CincereL726772 CincereL726772
  • 29-10-2022

Consider the formulae,

[tex]\begin{gathered} \frac{ab}{cd}=\frac{a}{c}\times\frac{b}{d} \\ \frac{x^a}{x^b}=x^{a-b} \end{gathered}[/tex]

Now, solve the given expression as follows,

[tex]\begin{gathered} \frac{-12m^4}{-3m^3} \\ =\frac{-12}{-3}\times\frac{m^4}{m^3} \\ =4\times m^{4-3} \\ =4\times m^1 \\ =4m \end{gathered}[/tex]

Thus, the simplification yields '4m'.

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