Question

How do I solve (16n^4)^5/4?

Answer 1

`32n^5`

Explanation:

An exponent which is a fraction is simplified using a radical.

5/4 is a 4th root radical with an exponent of 5 on the inside.

Once written inside there will be an exponent of 4 raised to the 5th power. Power to a power rule requires that these are multiplied so the exponent on n will be 20. 16 must also be raised to an exponent of 5. See the solution below.

`\sqrt[4]{(16n^4)^5} \\\sqrt[4]{(16^5 n^(20)} \\\sqrt[4]{(16^5 n^(20)} \\32n^5`