Video: Simplifying Algebraic Expressions Using Laws of Exponents

Simplify (𝑥⁶𝑦³)⁵.


Video Transcript

Simplify 𝑥 to the power of six 𝑦 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 𝑥 to the power of 𝑎 all to the power of 𝑏 is equal to 𝑥 to the power of 𝑎𝑏 multiplying the two exponents.

In our example, looking at the 𝑥 term first, we’re going to multiply six by five. In the same way, when looking at the 𝑦 term, we’re gonna multiply three by five. Multiplying six by five gives us 30; multiplying three by five gives us 15. Therefore, our answer is 𝑥 to the power of 30 multiplied by 𝑦 to the power of 15.

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