Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A 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 your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.