Simplify each expression. See Example 1.

9³ • 9⁵

Question

Simplify each expression. See Example 1.

9³ • 9⁵

Accepted Answer

Welcome back. I am so glad you're here. We're told for the following expression, simplify our expression is three rays to the fourth power multiplied by three rays to the seventh power. Our answer choices are answer choice, A three raised to the 11th power, answer choice B three raised to the 28th power. Answer choice C nine rays to the 11th power and answer choice D nine raised to the 28th power. All right, looking at our expression, we see that we are multiplying two terms with the same base. These threes are the same base and with exponents. So we need to recall from previous lessons. Our exponent rules when we are multiplying two terms with the same base. So it could be M raise to the A power multiplied by M raise to the B power, they will equal that same base M. And then we are going to add the exponent. So it's M raises to the A plus B. So when we have three rays to the fourth power multiplied by three rays to the seventh power, we're going to keep that three as our base. And then we're going to add the four plus the seven and four plus seven is 11 and three rays to the 11th. Power is our expression simplified. We look at our answer choices and that matches with answer choice. A well done. We'll catch you on the next one.

Simplify each expression. See Example 1. 9³ • 9⁵

Key Concepts

Exponential Rules

Base of an Exponent

Simplification of Expressions

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