Question
find the numerical equivalent of 9 to the power of 9 times 9 to the power of -6
Answers
Answered by
GPT 3.5
To find the numerical equivalent of 9 to the power of 9 multiplied by 9 to the power of -6, we need to use the rule of exponents that states "When multiplying powers with the same base, add their exponents."
Therefore, 9 to the power of 9 times 9 to the power of -6 can be simplified as:
9^9 * 9^-6
Now, we can apply the rule which states "When dividing powers with the same base, subtract their exponents."
9^9 * 9^-6 = 9^(9 - 6)
Simplifying further:
9^(9 - 6) = 9^3
And finally, calculating the value of 9 to the power of 3:
9^3 = 9 * 9 * 9 = 729
Therefore, the numerical equivalent of 9 to the power of 9 times 9 to the power of -6 is 729.
Therefore, 9 to the power of 9 times 9 to the power of -6 can be simplified as:
9^9 * 9^-6
Now, we can apply the rule which states "When dividing powers with the same base, subtract their exponents."
9^9 * 9^-6 = 9^(9 - 6)
Simplifying further:
9^(9 - 6) = 9^3
And finally, calculating the value of 9 to the power of 3:
9^3 = 9 * 9 * 9 = 729
Therefore, the numerical equivalent of 9 to the power of 9 times 9 to the power of -6 is 729.