The equivalent expression of [tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex] is [tex]\frac{1}{5x^{8}y^{13}}[/tex]
How to determine the equivalent expression?
The expression is given as:
[tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex]
Divide 3 and 15 by 3
[tex]\frac{x^{-6}y^{-3}}{5x^2y^{10}}[/tex]
Apply the law of indices
[tex]\frac{1}{5x^{2+6}y^{10+3}}[/tex]
Evaluate the sum
[tex]\frac{1}{5x^{8}y^{13}}[/tex]
Hence, the equivalent expression of [tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex] is [tex]\frac{1}{5x^{8}y^{13}}[/tex]
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