(a+b)^9/(a+b)^9

(a+b)^9 / (a+b)^9

= 1

Thank you so much Jai!

Skeeter

To simplify the expression (a+b)^9/(a+b)^9, we can apply the quotient rule of exponents, which states that when dividing two exponents with the same base, we subtract the exponents.

In this case, we have (a+b)^9 divided by (a+b)^9. Since both the numerator and denominator have the same base (a+b) raised to the same exponent (9), we can subtract the exponents.

Subtracting 9 from 9, we get 0 as the exponent. Therefore, the simplified expression is 1, or in other words, (a+b)^9/(a+b)^9 equals 1.

To recap:
(a+b)^9/(a+b)^9 = (a+b)^(9-9) = (a+b)^0 = 1