How to solve indices step by step.

追加: 2026-06-07

[00:00:00]Where you are going to evaluate something like this, where you have 4 raised to power 1/4 in the bracket and another exponent outside the bracket, it's very simple.

[00:00:11]Then, what you do is to multiply two of the exponents together, the one in the bracket and the other one outside the bracket.

[00:00:19]So, if you do that, you are going to have 4 raised to power 1/4 multiplied by 6/1.

[00:00:25]At this point, you can now say 2 divide 4 here, you have 2. Divide this by We have 3 here. So, what we are left is 4 raised to power 3/2.

[00:00:36]We have 3/2.

[00:00:38]Then, once again, we take the square root of this one, 4, and raise it to power 3, or you know that 4 is 2 raised to power 2, like this.

[00:00:47]Then, we have raised to power 3/2 outside the bracket. You remember that this will multiply this, and when it happens, 2 will divide 2, and you are left with 2 raised to power 3. So, 2 raised to power 3 is equal to 8 as the correct answer to this question.

[00:01:02]Thanks for watching.