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Find the value of a that makes the statement true. Es001-1. Jpg a =.

Sagot :

BabyFlamingoidn

Answer:  

-5

Explanation:

Lanuelidn

The value of a that makes the statement true is -5.

Given the following equation:

  • [tex]3^{-1 }\div 3^4 = 3^a[/tex]

To determine the value of a that makes the statement true, we would apply the law of indices:

What are the laws of indices?

In Mathematics, laws of indices can be defined as the standard principles or rules that are used for simplifying an equation or expression that involves powers of the same base.

Note: The common base is 3.

Applying the division law of indices, we have:

[tex]3^{-1 }\div 3^4 = 3^a\\\\3^{(-1-4)}=3^a\\\\-1-4=a[/tex]

a = -5

Read more on powers here: https://brainly.com/question/3506994

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