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Popular >

simplify (2/3 h^3)^4

Solution

simplify

(\frac{2}{3} h^{3})^{4}

Solution

\frac{16 h ^{12}}{81}

Solution steps

(\frac{2}{3} h^{3})^{4}

Apply exponent rule:

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

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

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

(\frac{2}{3})^{4} = \frac{16}{81}

= \frac{16}{81} (h^{3})^{4}

Apply exponent rule:

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

assuming

a \geq 0

(h^{3})^{4} = h^{3 \cdot 4}

= \frac{16}{81} h^{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= \frac{16}{81} h^{12}

Multiply fractions:

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

= \frac{16 h ^{12}}{81}

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Frequently Asked Questions (FAQ)

What is (2/3 h^3)^4 ?
The solution to (2/3 h^3)^4 is (16h^{12})/(81)