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Popular >

simplify (3x^3)^4

Solution

simplify

(3 x^{3})^{4}

Solution

81 x^{12}

Solution steps

(3 x^{3})^{4}

Apply exponent rule:

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

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

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

3^{4} = 81

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

Apply exponent rule:

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

assuming

a \geq 0

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

= 81 x^{3 \cdot 4}

Multiply the numbers:

3 \cdot 4 = 12

= 81 x^{12}

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Frequently Asked Questions (FAQ)

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