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Popular >

simplify (2/3 x^4y^2)(3y)

Solution

simplify

(\frac{2}{3} x^{4} y^{2}) (3 y)

Solution

2 x^{4} y^{3}

Solution steps

(\frac{2}{3} x^{4} y^{2}) (3 y)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

y^{2} y = y^{2 + 1}

= \frac{2}{3} x^{4} \cdot 3 y^{2 + 1}

Add the numbers:

2 + 1 = 3

= \frac{2}{3} x^{4} \cdot 3 y^{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 x ^{4} \cdot 3 y ^{3}}{3}

Cancel the common factor:

3

= 2 x^{4} y^{3}

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Frequently Asked Questions (FAQ)

What is (2/3 x^4y^2)(3y) ?
The solution to (2/3 x^4y^2)(3y) is 2x^4y^3