How do you simplify ${(5 n^{4})}^{4}$ $(5n^{4})^{4}$ ?

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How do you simplify ${(5 n^{4})}^{4}$ $(5n^{4})^{4}$ ?

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Answer 1 · 2018-04-20T01:41:25

$625 n^{16}$ $625n^16$

Explanation:

When you raise a whole expression, $x^{n}$ $x^n$ , to a power, you are effectively multiplying it by itself by $n$ $n$ number of times. A common mistake in this process is to add four to the $n$ $n$ but this is not correct. You, by raising $5 n^{4}$ $5n^4$ to the fourth power, are doing this:

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

From here its fairly simple, you just multiply 5 by itself 4 times and $n^{4}$ $n^4$ by itself 4 times.

From this you should get

$5^{4} \cdot n^{4 \cdot 4} = 625 n^{16}$ $5^4*n^(4*4)=625n^16$

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How do you simplify ${(5 n^{4})}^{4}$ $(5n^{4})^{4}$ ?

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