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Popular >

simplify 3(2n)^3*3n^4

Solution

simplify

3 (2 n)^{3} \cdot 3 n^{4}

Solution

72 n^{7}

Solution steps

3 (2 n)^{3} \cdot 3 n^{4}

Multiply the numbers:

3 \cdot 3 = 9

= 9 (2 n)^{3} n^{4}

Simplify

(2 n)^{3} : 8 n^{3}

= 9 \cdot 8 n^{3} n^{4}

Multiply the numbers:

9 \cdot 8 = 72

= 72 n^{3} n^{4}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

n^{3} n^{4} = n^{3 + 4}

= 72 n^{3 + 4}

Add the numbers:

3 + 4 = 7

= 72 n^{7}

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Frequently Asked Questions (FAQ)

What is 3(2n)^3*3n^4 ?
The solution to 3(2n)^3*3n^4 is 72n^7