Simplify the Expression: Finding 9^9 ÷ 9^3 Using Power Rules

9993= \frac{9^9}{9^3}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's simplify the expression!
00:08 We'll use a formula for dividing with exponents.
00:12 When you divide A to the M by A to the N,
00:16 it equals A raised to the power of M minus N.
00:21 Let's apply this in our exercise now.
00:24 Keep the base the same, subtract the exponents, then calculate.
00:29 And that's how we find the solution. Great job!

Step-by-step written solution

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1

Understand the problem

9993= \frac{9^9}{9^3}=

2

Step-by-step solution

Note that in the fraction and its denominator, there are terms with the same base, so we will use the law of exponents for division between terms with the same base:

bmbn=bm−n \frac{b^m}{b^n}=b^{m-n}

Let's apply it to the problem:

9993=99−3=96 \frac{9^9}{9^3}=9^{9-3}=9^6

Therefore, the correct answer is b.

3

Final Answer

96 9^6

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\( 112^0=\text{?} \)

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