Question

How do you simplify `2^5/2^3 times 2^8`?

Answer 1

Use the following exponent rules:

•Quotient rule: `a^n/a^m = a^(n - m)`
•Product rule: `a^n xx a^m = a^(n + m)`

Explanation:

Let's calculate the `2^5/2^3` first.

Applying the quotient rule we get:

`2^5/2^3 = 2^(5 - 3) = 2^2`

Now, we must calculate `2^2 xx 2^8`

By the product rule:

`2^2 xx 2^8 = 2^(2 + 8) = 2^10`

Now, knowing our final result, we calculate `2^10` which gives 1024.

Hopefully this helps!