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Popular >

simplify (3h^3)^4

Solution

simplify

(3 h^{3})^{4}

Solution

81 h^{12}

Solution steps

(3 h^{3})^{4}

Apply exponent rule:

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

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

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

3^{4} = 81

= 81 (h^{3})^{4}

Apply exponent rule:

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

assuming

a \geq 0

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

= 81 h^{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 81 h^{12}

Popular Examples

- 7 y = - 28

- 6 x + 11 = 7 - 10 x

factor 2a^2+2b^2-5ab factor

2 a^{2} + 2 b^{2} - 5 ab

factor 27a^3-b^3 factor

27 a^{3} - b^{3}

(3x)/2 (6/4+13/4)= 18/6 (x/2-(5x)/4)

\frac{3 x}{2} (\frac{6}{4} + \frac{13}{4}) = \frac{18}{6} (\frac{x}{2} - \frac{5 x}{4})

Frequently Asked Questions (FAQ)

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