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Popular >

simplify (2/3 x^3)^2

Solution

simplify

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

Solution

\frac{4 x ^{6}}{9}

Solution steps

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

Apply exponent rule:

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

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

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

(\frac{2}{3})^{2} = \frac{4}{9}

= \frac{4}{9} (x^{3})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(x^{3})^{2} = x^{3 \cdot 2}

= \frac{4}{9} x^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{4}{9} x^{6}

Multiply fractions:

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

= \frac{4 x ^{6}}{9}

Popular Examples

20 x^{2} + 60 x + 27 = 0

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factor 8x^3-18x factor

8 x^{3} - 18 x

6 x - 2 = - 4 x + 2

1.87 = 4.9 t^{2}

Frequently Asked Questions (FAQ)

What is (2/3 x^3)^2 ?
The solution to (2/3 x^3)^2 is (4x^6)/9