226k views
5 votes
Rewrite using a single positive exponent.
6^5
6

Rewrite using a single positive exponent. 6^5 6-example-1

2 Answers

9 votes

Answer:


6^(4)

Explanation:

using the rule of exponents


(a^(m) )/(a^(n) ) =
a^((m-n))

note that 6 =
6^(1) , then


(6^(5) )/(6) =
6^((5-1)) =
6^(4)

User JMarcelino
by
8.8k points
7 votes

The rewritten expression is 6⁴

Using the rule of logarithm ;


a^(m) ÷ a^(n) = a^(m-n)

The expression given is ;

  • 6⁵/6

The exponent of the numerator = 5

The exponent of the denominator = 1

Subtract the exponents since they have the same base

exponent = 5 - 1 = 4

6⁵/6 =
6^(5) ÷ 6^(1) = a^(5 - 1)

Hence , the expression is 6⁴

User Radu Linu
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories