Question

Re write the expression 8^6 x 8^3/ 8^5 as an exponential expression with a single base

Answer 1

8^4

Explanation:

Here we have:

8^6 · 8³

-------------

8^5

That's multiplication in the numerator. The appropriate rule of exponents states that:

8^a·8^b = 8^(a+b), so the numerator is equivalent to 8^(6 + 3) = 8^9.

Now we have

8^9

------

8^5

and the appropriate rule for division here is

8^a / 8^b = 8^(a - b)

So our:

8^9

--------- 8^(9-5) = 8^4

8^5