Find the numerical equivalent of 9^9*9^-6
To find the numerical equivalent of 9^9 * 9^-6, we can simplify the expression using the rule of exponents that states a^m * a^n = a^(m+n).
Applying this rule:
9^9 * 9^-6 = 9^(9 + (-6)) = 9^3.
Now we can calculate the value of 9^3:
9^3 = 9 * 9 * 9 = 729.
Therefore, the numerical equivalent of 9^9 * 9^-6 is 729.
To find the numerical equivalent of 9^9 * 9^-6, we can simplify the expression step-by-step:
Step 1: Calculate 9 raised to the power of 9.
9^9 = 387,420,489
Step 2: Calculate 9 raised to the power of -6.
9^-6 = 1/9^6 = 1/531,441 = 0.000001881676
Step 3: Multiply the results from Step 1 and Step 2.
387,420,489 * 0.000001881676 = 729.000000078
Therefore, the numerical equivalent of 9^9 * 9^-6 is approximately 729.
To find the numerical equivalent of 9^9 * 9^(-6), we can simplify the expression by combining the exponents since we have the same base, which is 9.
When multiplying two numbers with the same base, we add the exponents:
9^9 * 9^(-6) = 9^(9 + (-6))
Now, let's simplify the exponent:
9 + (-6) = 3
So, we have:
9^9 * 9^(-6) = 9^3
To calculate 9^3, we multiply 9 by itself three times:
9^3 = 9 * 9 * 9 = 729
Therefore, the numerical equivalent of 9^9 * 9^(-6) is 729.