Question

(5^9 * 9^6)/ 45^9 =?

Answer 1

= 9^6 : 9^9 = 1 / 9^3 = 1 / 729
Ответ : 1 / 729

Answer 2

Решение:
9^6/9^9=1/9^3=1/729

Answer 3

To simplify the expression (5^9 * 9^6) / 45^9, you can use the properties of exponents.

First, notice that 45 is equal to 5 * 9, so you can rewrite it as:

45^9 = (5 * 9)^9

Now, use the properties of exponents to expand this expression:

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

So, the expression becomes:

(5^9 * 9^6) / 45^9 = (5^9 * 9^6) / (5^9 * 9^9)

Now, you can cancel out the common factors in the numerator and denominator:

(5^9 * 9^6) / (5^9 * 9^9) = (5^9/5^9) * (9^6/9^9)

When you divide a number with the same base and different exponents, you subtract the exponents:

5^9/5^9 = 1 (because any non-zero number raised to the power of 0 is 1)

9^6/9^9 = 9^(6-9) = 9^(-3)

So, the simplified expression is:

1 * 9^(-3)

Since 9^(-3) is the same as 1/(9^3), you can simplify it further:

1 * 1/(9^3) = 1/729

So, (5^9 * 9^6) / 45^9 = 1/729.