Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Question 12(Multiple Choice Worth 1 points)
(01.03 LC)
51
What is the value of
5^4/5^6

Question 12Multiple Choice Worth 1 Points 0103 LC 51 What Is The Value Of 5456 class=

Sagot :

chetankachana

Answer:

[tex]\frac1{25}[/tex]

Step-by-step explanation:

Hello!

Let's use a couple of exponent rules:

  • [tex]\frac{a^x}{a^b} = a^{x - b}[/tex]
  • [tex]a^{-x} = \frac{1}{a^x}[/tex]

Let's utilize the first rule and simplify the fraction.

Simplify

  • [tex]\frac{5^4}{5^6}[/tex]
  • [tex]5^{4 - 6}[/tex]
  • [tex]5^{-2}[/tex]

Now, we can utilize the second exponent rule, as we have a base to the power of a negative number.

Simplify

  • [tex]5^{-2}[/tex]
  • [tex]\frac1{5^2}[/tex]
  • [tex]\frac1{25}[/tex]

The answer is option 1, [tex]\frac{1}{25}[/tex].

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.