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Simplify the following expression to simplest form using only positive exponents. 4

Simplify The Following Expression To Simplest Form Using Only Positive Exponents 4 class=

Sagot :

In order to simplify this expression, we need to use the following properties:

[tex]\begin{gathered} (a^b)^c=a^{b\cdot c} \\ a^{-b}=\frac{1}{a^b} \end{gathered}[/tex]

So we have:

[tex]\begin{gathered} (49x^{-12}y^{-10})^{-\frac{1}{2}}\\ \\ =(7^2x^{-12}y^{-10})^{-\frac{1}{2}}\\ \\ =7^{2\cdot(-\frac{1}{2})}\cdot x^{-12\cdot(-\frac{1}{2})}\cdot y^{-10\cdot(-\frac{1}{2})}\\ \\ =7^{-1}\cdot x^6\cdot y^5\\ \\ =\frac{x^6y^5}{7} \end{gathered}[/tex]

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