Question

Simplify 3to power of a · 3to power of b ÷ 3to power of c ÷ 3to power of d.The exponent on 3 is _____.

Answer 1

The exponent on 3 is

STEP - BY - STEP EXPLANATION

What to find?

The exponent on 3.

Given:

`3^a*3^b/3^c/3^d`

To solve the above, we will follow the steps below:

Step 1

Recall the law of indices.

That is;

`\begin{gathered} a^b* a^d=a^(a+d) \\ \\ c^g/ c^f=C^(g-f) \end{gathered}`

Step 2

Apply the above laws of indices to the given expression.

`3^(a+b-c-d)`

Therefore, the exponent on the as observed above is a+b-c-d