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:

$3^a\times3^b\div3^c\div3^d$

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

Step 1

Recall the law of indices.

That is;

$\begin{gathered} a^b\times a^d=a^{a+d} \\ \\ c^g\div c^f=C^{g-f} \end{gathered}$

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