Find the numerical equivalent (the answer) of 9^9 x 9^-6

Answer 1

To find the numerical equivalent of 9^9 × 9^-6, we can simplify the expression using the exponent rules.

9^9 can be written as (3^2)^9, which is equal to 3^(2×9) = 3^18.

Similarly, 9^-6 can be written as (3^2)^-6, which is equal to 3^(2×-6) = 3^-12.

Now, we can combine these simplified expressions:

3^18 × 3^-12 = 3^(18 + (-12)) = 3^6

Therefore, the numerical equivalent of 9^9 × 9^-6 is 3^6.

Answer 2

What is the missing exponent in the following equation?
h^450/h^? = h^215

Answer 3

To solve for the missing exponent, we can use the exponent rule for division. According to this rule, when dividing two terms with the same base, we subtract the exponents:

h^450/h^x = h^(450 - x) = h^215.

So, we need to solve the equation 450 - x = 215 to find the value of x.

Subtracting 450 from both sides, we have:
450 - x - 450 = 215 - 450,
-x = -235.

Now, we multiply both sides by -1 to solve for x:
x = 235.

Therefore, the missing exponent in the equation h^450/h^? = h^215 is 235.