Question

- t^5 u^5 v^5/ tuv =????????

Answer 1

[AI-generated answer — Explain Bot]

To simplify the expression (-t^5 u^5 v^5) / (tuv), you can apply the rules of exponents and cancel out the common factors in the numerator and denominator. Let's break it down step by step:

1. Divide the numbers: (-t^5 u^5 v^5) / (tuv) = -t^5 u^5 v^5 ÷ tuv

2. Simplify the numerator: Since you have t^5 in the numerator, and you are dividing by t, you can cancel out one of the t's: t^5 ÷ t = t^(5-1) = t^4

3. Simplify the denominator: Similarly, in the denominator, you have tuv, and you are dividing by tuv. Therefore, you can cancel out the t, u, and v: tuv ÷ tuv = 1.

After canceling the common factors, your expression simplifies to:

-t^4 u^4 v^4

So, (-t^5 u^5 v^5) / (tuv) simplifies to -t^4 u^4 v^4.