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

1 Answer
CrispyRounds
Apr 20, 2018

#625n^16#

Explanation:

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

#(5n^4)(5n^4)(5n^4)(5n^4)#

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

From this you should get

#5^4*n^(4*4)=625n^16#

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