# 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