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Algebraic expressions and their simplified solutions from a math worksheet.

A page from a math worksheet showing six algebraic expressions (g) through (l) involving variables x and y, with their corresponding simplified answers listed to the right.

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Show Answer Key & Explanations Step-by-step solution for: Multiplying and Dividing exponents worksheet

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- (g) $\frac{10x^5y^2}{9x^6y^6} \div \frac{3x^3y}{5x^7y^4} = \frac{50x^3}{27y}$

- (h) $\frac{7y^3x^2}{5y^5x^4} \div \frac{5x^6y^2}{7x^5y^3} = \frac{49}{25x^3y}$

- (i) $\frac{(x^5y)^2 \times (x^3y^4)^2}{(x^3y^3)^3} = \frac{x^{16}}{y^{16}}$

- (j) $\frac{(2x^4y^2)^3}{(y^3x^2)^3} \times \frac{(x^4y^4)^2}{3(x^2y)^2} = \frac{32x^4y^2}{3}$

- (k) $\left(\frac{x^2}{y^4}\right)^3 \times \left(\frac{x^5}{y^2}\right)^2 = \frac{8x^{10}y^3}{3}$

- (l) $\frac{(5x^3y^2)^3}{4x^7y^6} \div \left(\frac{2xy^3}{5x^2y^4}\right)^2 = x^7y$

Parent Tip: Review the logic above to help your child master the concept of multiply and divide exponents worksheet.

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