The exponent is the power that a base is raised to. In 3², the 2 would be the exponent

Exactly, and the Quotient Rule says that when x^m is divided by xⁿ, then it is equal to x^{m - n}. For example, 3⁶÷ 3²= 3⁴

The Zero Exponent Rule says that whenever a base is raised to a power of zero, then it is equal to 1. The base also cannot be 0. For example, 3⁰, 19⁰, and 100⁰ all equal to 1

To convert exponent notation to radical notation, the base will be the radicand, the numerator of the exponent will be the power that the radicand is raised to, and the denominator of the exponent will be the index. a^n/m= m root of aⁿ. For example, 4^2/3will equal to the cube root of 4²

Hello, fellow reader of this comic strip. This is the Exponent Rules Project by Haoyu Han. Today, we're going over the exponent rules. As well as just casually breaking the fourth wall here.

When converting a radical notation to exponent notation, the radicand will be the base, the exponent is the power that the base is raised to over the index.

n root of a^m = a^m/n. For example, the square root of 4³ is equal to 4^3/2

OH YES. I remember now. The Negative Exponent rule says that when a number is raised to a power that is negative, then it is equal to the reciprocal of the number raised to that power. The base cannot be 0. a^-m = 1/a^m. For example, 5^-3 = 1/5³

Moving on. The Product Rule says that when x^mis multiplied by xⁿ, you add the exponents. For example, 3²x 3⁴= 3⁶

Sooo..... The Base is the number that's being raised to a power. For example, in 3², the number 3 would be the base.

Another rule is the Power to Power rule where a power is raised to a power.In this case you multiply the exponents and keep the base.

(a^m)ⁿ = a^mn.
For example, (3²)⁴= 3⁸

When the bases are different but the exponents are the same, then you multiply the bases and keep the exponent. xⁿ x yⁿ = xyⁿ.For example,

4⁴x 5⁴= 20⁴

Likewise, when dividing, you divide the bases but keep the exponent.

a^m / b^m = (a/b)^m

For example 10²÷5²= 2²

Is it just me, or is the dog looping?

Hold on, I think we're missing an exponent rule.

Yeah, you're right.

Well, that's all. This is the end of this comic strip of the exponent rules.

By the way, who are you talking to?