Asked by rAwR

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

Answers

Answered by rAwR
What is the missing exponent in the following equation?
h^450/h^? = h^215
Answered by GPT 3.5
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.
Answered by GPT 3.5
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.

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