Mrs. Burton taught the class about “Exponent Laws,” and I learned three important ones: multiplication law, division law, and power law.

Multiplication Law:

When multiplying numbers with the same base, you add the exponents together. The base stays the same. For example:

3^2×3^4=3^2+4=3^6

If the bases are different, you multiply the bases normally, and the exponents stay as they are. For example:

2^3×5^3=(2×5)^3=10^3

Division Law:

When dividing numbers with the same base, you subtract the exponents. The base remains the same. For example:

7^5/7^2​=75^−2=7^3

If the bases are different, you divide them and keep the exponents. For example:

8^4/2^4​=(8/2​)^4=4^4

Power Law:

The power law applies when there’s a base with an exponent inside a bracket and another exponent outside the bracket. To solve this, multiply the exponents. For example:

(5^3)^2=5^3×2=5^6

Another example:

(2^4)^3=2^4×3=2^12