WEBVTT

1
00:00:00.000 --> 00:00:04.470
Here is the problem: Evaluate 27 to the power 4 over 3).

2
00:00:04.920 --> 00:00:07.776
Raise 27 to the power 4 over 3.

3
00:00:08.576 --> 00:00:15.159
Identify the base and exponent. base b equals 27, exponent n equals 4 over 3.

4
00:00:15.609 --> 00:00:26.592
Fractional exponent rule. b to the power m/n) equals ( to the power nthe square root of b to the power m: the denominator 3 is the root, the numerator 4 is the power.

5
00:00:27.042 --> 00:00:28.853
Take the cube root exactly.

6
00:00:29.653 --> 00:00:31.499
So the answer is 81.

7
00:00:31.949 --> 00:00:35.943
27 raised to 4 over 3 equals 81.

8
00:00:36.743 --> 00:00:45.032
Decimal check: 27 to the power 1.333333333 approximately 81.