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

Question

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

Video Solution

Solution Steps

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 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.

Answer

96 9^6

More Questions

Related Subjects

Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Division of Exponents with the Same Base

Question Types

Applying Combined Exponents Rules: Applying the formula Applying Combined Exponents Rules: A power law Applying Combined Exponents Rules: Monomial Power of a Quotient Rule for Exponents: Applying the formula