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Popular >

simplify (3x^2)(1/3 x)

Solution

simplify

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

Solution

x^{3}

Solution steps

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

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

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

Add the numbers:

2 + 1 = 3

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

Multiply fractions:

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

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

Cancel the common factor:

3

= 1 \cdot x^{3}

Multiply:

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

= x^{3}

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\frac{6 ^{3}}{6 ^{2}}

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\frac{42}{6}

Frequently Asked Questions (FAQ)

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