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

Question

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

Video Solution

Solution Steps

00:00 Solve
00:02 We'll reduce the exponent of the denominator from the numerator and that's the solution to the question

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

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