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Popular >

simplify 1/3 a^2b^2c

Solution

simplify

\frac{1}{3} a^{2} b^{2} c

Solution

\frac{a ^{2} b ^{2} c}{3}

Solution steps

\frac{1}{3} a^{2} b^{2} c

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

a^{2} b^{2} = (ab)^{2}

= \frac{1}{3} c (ab)^{2}

(ab)^{2} = a^{2} b^{2}

= \frac{1}{3} a^{2} b^{2} c

Multiply fractions:

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

= \frac{1 \cdot a ^{2} b ^{2} c}{3}

Multiply:

1 \cdot a^{2} = a^{2}

= \frac{a ^{2} b ^{2} c}{3}

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Frequently Asked Questions (FAQ)

What is 1/3 a^2b^2c ?
The solution to 1/3 a^2b^2c is (a^2b^2c)/3