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- 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.
- The exponent is the power that a base is raised to. In 32, the 2 would be the exponent
- Sooo..... The Base is the number that's being raised to a power. For example, in 32, the number 3 would be the base.
- Moving on. The Product Rule says that when xmis multiplied by xn, you add the exponents. For example, 32x 34= 36
- Exactly, and the Quotient Rule says that when xm is divided by xn, then it is equal to xm - n. For example, 36÷ 32= 34
- 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. (am)n = amn.For example, (32)4= 38
- Is it just me, or is the dog looping?
- 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
- 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
- Likewise, when dividing, you divide the bases but keep the exponent.am / bm = (a/b)m For example 102÷52= 22
- Hold on, I think we're missing an exponent rule.
- 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. an/m= m root of an. For example, 42/3will equal to the cube root of 42
- 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 am = am/n. For example, the square root of 43 is equal to 43/2
- 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/am. For example, 5-3 = 1/53
- Yeah, you're right.
- By the way, who are you talking to?
- Well, that's all. This is the end of this comic strip of the exponent rules.
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