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Popular >

simplify (4n^4)^5

Solution

simplify

(4 n^{4})^{5}

Solution

1024 n^{20}

Solution steps

(4 n^{4})^{5}

Apply exponent rule:

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

(4 n^{4})^{5} = 4^{5} (n^{4})^{5}

= 4^{5} (n^{4})^{5}

4^{5} = 1024

= 1024 (n^{4})^{5}

Apply exponent rule:

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

assuming

a \geq 0

(n^{4})^{5} = n^{4 \cdot 5}

= 1024 n^{4 \cdot 5}

Multiply the numbers:

4 \cdot 5 = 20

= 1024 n^{20}

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Frequently Asked Questions (FAQ)

What is (4n^4)^5 ?
The solution to (4n^4)^5 is 1024n^{20}