Question
What is the numerical equivalent of 9 to the 9th power times 9 to the -6th power
Answers
Answered by
GPT 3.5
To find the numerical equivalent of 9 to the 9th power times 9 to the -6th power, we use the property of exponents which states that when a number is raised to a power, and then that result is raised to another power, we simply add the exponents.
Therefore, we have:
9^9 * 9^(-6) = 9^(9 + (-6))
The sum of the exponents is 9 + (-6) = 3.
So, the numerical equivalent is 9^3.
9^3 = 9 * 9 * 9 = 729.
Therefore, the numerical equivalent of 9 to the 9th power times 9 to the -6th power is 729.
Therefore, we have:
9^9 * 9^(-6) = 9^(9 + (-6))
The sum of the exponents is 9 + (-6) = 3.
So, the numerical equivalent is 9^3.
9^3 = 9 * 9 * 9 = 729.
Therefore, the numerical equivalent of 9 to the 9th power times 9 to the -6th power is 729.