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Popular >

simplify (4n^4*n)^2

Solution

simplify

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

Solution

16 n^{10}

Solution steps

(4 n^{4} n)^{2}

Apply exponent rule:

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

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

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

4^{2} = 16

= 16 (n^{4})^{2} n^{2}

Simplify

(n^{4})^{2} : n^{8}

= 16 n^{8} n^{2}

Apply exponent rule:

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

n^{8} n^{2} = n^{8 + 2}

= 16 n^{8 + 2}

Add the numbers:

8 + 2 = 10

= 16 n^{10}

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Frequently Asked Questions (FAQ)

What is (4n^4*n)^2 ?
The solution to (4n^4*n)^2 is 16n^{10}