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Popular >

simplify (12k^6)^3

Solution

simplify

(12 k^{6})^{3}

Solution

1728 k^{18}

Solution steps

(12 k^{6})^{3}

Apply exponent rule:

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

(12 k^{6})^{3} = 1 2^{3} (k^{6})^{3}

= 1 2^{3} (k^{6})^{3}

1 2^{3} = 1728

= 1728 (k^{6})^{3}

Apply exponent rule:

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

assuming

a \geq 0

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

= 1728 k^{6 \cdot 3}

Multiply the numbers:

6 \cdot 3 = 18

= 1728 k^{18}

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Frequently Asked Questions (FAQ)

What is (12k^6)^3 ?
The solution to (12k^6)^3 is 1728k^{18}