Find the value of a that makes the statement true
What is the value of a that makes the statement true?
Given the following equation:
- 3^(-1) ÷ 3^4 = 3^a
To determine the value of a that makes the statement true, we would apply the law of indices:
What are the laws of indices?
Answer:
Explanation:
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:
3^(-1) ÷ 3^4 = 3^a
3^(-1-4) = 3^a
-1-4 = a
a = -5
Read more on powers here: URL link here
a = -5
next = 1/243