find the numerical equivalent of 9 to the power of 9 times 9 to the power of -6
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.
To find the numerical equivalent of 9 to the power of 9 multiplied by 9 to the power of -6, we use the property of exponents that states when multiplying terms with the same base, we add the exponents. Therefore:
9^9 * 9^(-6) = 9^(9 + (-6))
The sum of the exponents is 9 + (-6), which simplifies to:
9^3
Calculating 9 to the power of 3:
9^3 = 9 * 9 * 9 = 729
Therefore, the numerical equivalent of 9 to the power of 9 multiplied by 9 to the power of -6 is 729.
To find the numerical equivalent of 9 to the power of 9 times 9 to the power of -6, we need to calculate each exponent separately and then multiply the results.
First, let's calculate 9 to the power of 9:
9^9 = 387,420,489
Next, let's calculate 9 to the power of -6:
9^-6 = 1 / (9^6) = 1 / 531,441 ≈ 0.000001881676
Finally, let's multiply the two results together:
387,420,489 * 0.000001881676 ≈ 730.1435854
Therefore, the numerical equivalent of 9 to the power of 9 times 9 to the power of -6 is approximately 730.1435854.