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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 :

Chetankachanaidn

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].

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