Question

Explain 3 different ways
And explain

Answer 1

5^2 * 5^9

5^3 * 5^8

5^4 * 5^7

Explanation:

The easiest way to approach this problem is to first express 5^(11) in its simplest form:

5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5

Then you can regroup them as you want, to still express the same value, but shown as a product of different numbers, including:

(5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5 * 5^(10)

(5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^2 * 5^9

(5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^3 * 5^8

(5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^4 * 5^7

And so on....