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Exercise

$\left(\frac{2}{3}x^2\right)\left(\frac{5}{7}y^3x\right)$

Step-by-step Solution

1

When multiplying exponents with same base you can add the exponents: $\frac{2}{3}\cdot \frac{5}{7}x^2y^3x$

$\frac{2}{3}\cdot \frac{5}{7}x^{2+1}y^3$
2

Add the values $2$ and $1$

$\frac{2}{3}\cdot \frac{5}{7}x^{3}y^3$
3

Multiplying fractions $\frac{2}{3} \times \frac{5}{7}$

$\frac{2\cdot 5}{3\cdot 7}x^{3}y^3$
4

Multiply $3$ times $7$

$\frac{2\cdot 5}{21}x^{3}y^3$
5

Multiply $2$ times $5$

$\frac{10}{21}x^{3}y^3$

Final answer to the exercise

$\frac{10}{21}x^{3}y^3$

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Similar Questions Solved

$2m^2\cdot2m^3$

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$5^2\cdot5^2$

$\left(-6x^3\right)\left(7x^4\right)$

$\left(x^2\right)\left(x^2\right)$

$4r^{-3}\cdot2r^2$

Main Topic: Multiply powers of same base

When multiplying powers of same base we can add the exponents.

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