Simplify
9^90-9^89 / (3^2)^89
Its 9^90 right?
I will assume you meant:
(9^90-9^89) / (3^2)^89
then
= 9^89(9 - 1)/(9^89)
= 8
I do not understand what you did. Can you please explain? Sorry for the inconvenience.
I used a common factor of 9^89
suppose I had x^90 - x^89
wouldn't x^89 be the highest common factor and we have
x^89(x - 1)
so at the top I had:
9^90 - 9^89
9^89(9^1 - 1) = 9^89 (8)
at the bottom the 3^2 is 9 , so
(3^2)^89
= 9^89 , which canceled the 9^89 at the top , leaving 8
Thank you
To simplify the expression (9^90 - 9^89) / (3^2)^89, we can follow these steps:
Step 1: Simplify the numerator
In the numerator, we have 9^90 - 9^89. Notice that both terms have a common factor of 9^89. Factoring out this common factor, we get: 9^89 * (9^1 - 1). Simplifying further, 9^89 * 8.
Step 2: Simplify the denominator
In the denominator, we have (3^2)^89. Notice that (3^2) is equal to 9. So, we can rewrite the denominator as 9^89.
Step 3: Simplify the expression
Now, we have the expression (9^89 * 8) / 9^89. Since the bases (9) are the same, we can subtract the exponents: 8 / 9^89.
So, the simplified expression is 8 / 9^89. It is not equal to 9^90.