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Popular >

simplify 3y(1/3 y^2)

Solution

simplify

3 y (\frac{1}{3} y^{2})

Solution

y^{3}

Solution steps

3 y (\frac{1}{3} y^{2})

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

= 3 \cdot \frac{1}{3} y^{3}

Multiply fractions:

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

= \frac{1 \cdot 3 y ^{3}}{3}

Cancel the common factor:

3

= 1 \cdot y^{3}

Multiply:

1 \cdot y^{3} = y^{3}

= y^{3}

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Frequently Asked Questions (FAQ)

What is 3y(1/3 y^2) ?
The solution to 3y(1/3 y^2) is y^3