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Popular >

simplify 120/360 x^2pi^2

Solution

simplify

\frac{120}{360} x^{2} π^{2}

Solution

\frac{π ^{2} x ^{2}}{3}

Solution steps

\frac{120}{360} x^{2} π^{2}

Apply exponent rule:

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

assuming

a \geq 0, b \geq 0

π^{2} x^{2} = (π x)^{2}

= \frac{120}{360} (π x)^{2}

\frac{120}{360} = \frac{1}{3}

= \frac{1}{3} (π x)^{2}

(π x)^{2} = π^{2} x^{2}

= π^{2} \frac{1}{3} x^{2}

Multiply fractions:

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

= \frac{1 \cdot π ^{2} x ^{2}}{3}

Multiply:

1 \cdot π^{2} = π^{2}

= \frac{π ^{2} x ^{2}}{3}

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Frequently Asked Questions (FAQ)

What is 120/360 x^2pi^2 ?
The solution to 120/360 x^2pi^2 is (pi^2x^2)/3