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Popular >

simplify (3x^6)^3

Solution

simplify

(3 x^{6})^{3}

Solution

27 x^{18}

Solution steps

(3 x^{6})^{3}

Apply exponent rule:

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

(3 x^{6})^{3} = 3^{3} (x^{6})^{3}

= 3^{3} (x^{6})^{3}

3^{3} = 27

= 27 (x^{6})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(x^{6})^{3} = x^{6 \cdot 3}

= 27 x^{6 \cdot 3}

Multiply the numbers:

6 \cdot 3 = 18

= 27 x^{18}

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Frequently Asked Questions (FAQ)

What is (3x^6)^3 ?
The solution to (3x^6)^3 is 27x^{18}