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Popular >

simplify (1/3 x^2)^2

Solution

simplify

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

Solution

\frac{x ^{4}}{9}

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

(\frac{1}{3})^{2} = \frac{1}{9}

= \frac{1}{9} (x^{2})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{2})^{2} = x^{2 \cdot 2}

= \frac{1}{9} x^{2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{9} x^{4}

Simplify

\frac{1}{9} x^{4} : \frac{x ^{4}}{9}

= \frac{x ^{4}}{9}

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Frequently Asked Questions (FAQ)

What is (1/3 x^2)^2 ?
The solution to (1/3 x^2)^2 is (x^4)/9