Simplify 516⋅5−95^{16}\cdot5^{-9}5

Question

16
⋅5
−9
and write your answer in exponential form.

Answer 1

To simplify the expression, we can combine the like bases.

First, let's simplify the number part:

516⋅5 = 5^1 * 5^2 = 5^(1 + 2) = 5^3

Next, let's simplify the exponent part:

-9 + 16 = 7

So, the simplified expression in exponential form is:

516⋅5^(-9) * 5^16 = 5^3 * 5^7 = 5^(3 + 7) = 5^10