Video Transcript
Simplify π₯ to the power of six π¦ to the power of three all to the power of five.
To solve this problem, we need to use one of the laws of exponents. Specifically, when we have a term inside a parenthesis and an exponent outside, the following law applies. The term inside the parentheses π₯ to the power of π all to the power of π is equal to π₯ to the power of ππ multiplying the two exponents.
In our example, looking at the π₯ term first, weβre going to multiply six by five. In the same way, when looking at the π¦ term, weβre gonna multiply three by five. Multiplying six by five gives us 30; multiplying three by five gives us 15. Therefore, our answer is π₯ to the power of 30 multiplied by π¦ to the power of 15.
