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
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.
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.
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.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.