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Popular >

simplify (3n^2)^3

Solution

simplify

(3 n^{2})^{3}

Solution

27 n^{6}

Solution steps

(3 n^{2})^{3}

Apply exponent rule:

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

(3 n^{2})^{3} = 3^{3} (n^{2})^{3}

= 3^{3} (n^{2})^{3}

3^{3} = 27

= 27 (n^{2})^{3}

Apply exponent rule:

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

assuming

a \geq 0

(n^{2})^{3} = n^{2 \cdot 3}

= 27 n^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 27 n^{6}

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Frequently Asked Questions (FAQ)

What is (3n^2)^3 ?
The solution to (3n^2)^3 is 27n^6