# How do you evaluate #a^ { 5} \times ? = a ^ { 9}#?

##### 3 Answers

#### Explanation:

Let's take a=2;b=3

In this case

#### Explanation:

For this question you need to know the following index law:

Divide both sides by

Now apply the index law:

#### Explanation:

We are given that

To find out what the multiplier is , we can **divide** the two numbers given.

For example: if

then

where we **divided** both sides by 5:

Here, we will *divide*

We know that since both of these unknown numbers are represented by

We also know that

But, these are exponents and we know that *dividing* exponents means **subtract**.

So:

And: