ManafS367585 ManafS367585
  • 03-11-2022
  • Mathematics
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how do I evaluate the expression in the picture using exponents

how do I evaluate the expression in the picture using exponents class=

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ChristinD729050 ChristinD729050
  • 03-11-2022

Given:

[tex]\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}[/tex][tex]\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=\frac{x^mx^5y^{h-2}}{x^{3m-1}y^{h+2}}[/tex]

[tex]\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=\frac{x^{m+5}y^{h-2}}{x^{3m-1}y^{h+2}}[/tex][tex]\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=x^{m+5-3m+1}y^{h-2-h-2}[/tex][tex]\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=x^{-2m+6}y^{-4}[/tex][tex]\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=x^{2(3-m)}y^{-4}[/tex][tex]\frac{x^m(y^{h-2}x^5)}{x^{3m-1}y^{h+2}}=\frac{x^{2(3-m)}}{y^4}[/tex]

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