Question

the most ting i learned this week was____ it stood out to me because_____

Divide Exponential Expressions: Same Base
Successfully completed:
Multiply Exponential Expressions: Same Base
Find the Power of a Power

Answer 1

Here’s a clean way to fill the sentence and a short review tying the topics together:

Filled sentence
- The most thing I learned this week was how to divide exponential expressions with the same base. It stood out to me because it made simplifying complicated expressions easy — using the rule a^m / a^n = a^(m−n) connects directly with the other exponent rules I learned and cleared up a lot of confusion.

Short review + examples
- Division (same base): a^m / a^n = a^(m−n)
- 2^5 / 2^2 = 2^(5−2) = 2^3 = 8
- x^3 / x^7 = x^(3−7) = x^(−4) = 1/x^4
- a^4 / a^4 = a^(4−4) = a^0 = 1
- Multiplication (same base) — you already completed this: a^m * a^n = a^(m+n)
- 2^3 * 2^4 = 2^(3+4) = 2^7
- Power of a power — you completed this too: (a^m)^n = a^(m·n)
- (3^4)^2 = 3^(4·2) = 3^8

Quick practice (try these)
- 5^6 / 5^2
- y^2 / y^5
- (2^3)^4
- 7^2 * 7^(−1)

Answers
- 5^4 = 625
- y^(2−5) = y^(−3) = 1/y^3
- 2^(3·4) = 2^12
- 7^(2+(−1)) = 7^1 = 7

Next steps
- Practice mixed problems that combine the rules (e.g., (a^3 * a^−2) / a^4), and include negative and zero exponents so you’re comfortable rewriting results like a^(−n) as 1/a^n.

If you want, I can make a short worksheet of problems at your level or explain any single example step-by-step.