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 first combine the like terms within each base (5 in this case).

516⋅5^{-9+16}⋅5^5

Next, we simplify the exponent by adding the exponents (-9 + 16) to get:

516⋅5^7⋅5^5

Finally, we can simplify further by adding the exponents in the second term (7 + 5) to get:

516⋅5^{12}

So the simplified expression in exponential form is:

516⋅5^{12}