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Katarina [22]
3 years ago
11

Simplify the expression

Mathematics
1 answer:
lisov135 [29]3 years ago
6 0

Answer:

The simplified given expression \frac{3x^2y^{-1}}{2x}.\frac{10x^2y}{3y^{-3}} is 5x^3y^3

Step-by-step explanation:

Given expression is

\frac{3x^2y^{-1}}{2x}.\frac{10x^2y}{3y^{-3}}

To find the simplified expression:

\frac{3x^2y^{-1}}{2x}.\frac{10x^2y}{3y^{-3}}=\frac{3x^2.x^-1}{2y^1}.\frac{10x^2y.y^3}{3}   ( Using the properties \frac{a^m}{a^n}=a^{m-n} and   a^m.a^n=a^{m+n} )

=\frac{3x^{2-1}}{2y}.\frac{10x^2y^{1+3}}{3}

=\frac{3x}{2y}.\frac{10x^2y^4}{3} (using division property to the terms)

=5x^{1+2}y^{4-1}  ( Using the properties \frac{a^m}{a^n}=a^{m-n} and  a^m.a^n=a^{m+n} )

=5x^3y^3

Therefore \frac{3x^2y^{-1}}{2x}.\frac{10x^2y}{3y^{-3}}=5x^3y^3

Therefore the simplified given expression is 5x^3y^3

Therefore simplified expression is given by \frac{3x^2y^{-1}}{2x}.\frac{10x^2y}{3y^{-3}}=5x^3y^3

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