Find the numerical equivalent of 9^9 x 9^−6
To simplify the expression 9^9 x 9^−6, we can use the rule of exponents that states a^m x a^n = a^(m+n).
In this case, we have 9^9 x 9^−6, so we can rewrite it as 9^(9+(-6)).
9^(9+(-6)) = 9^3
Now, we calculate 9^3:
9^3 = 9 x 9 x 9 = 729
Therefore, the numerical equivalent of 9^9 x 9^−6 is 729.
To find the numerical equivalent of 9^9 x 9^-6, we can simplify the expression.
Recall that when multiplying numbers with the same base, you add the exponents.
So, 9^9 x 9^-6 can be rewritten as 9^(9 + (-6)).
Simplifying further, we get 9^3.
To calculate 9^3, we multiply 9 by itself three times: 9 x 9 x 9.
Evaluating this expression, we find that 9^3 is equal to 729.
Therefore, the numerical equivalent of 9^9 x 9^-6 is 729.
To find the numerical equivalent of the expression 9^9 x 9^(-6), we need to remember the exponent rules for multiplying powers with the same base.
The rule states that when multiplying two powers with the same base, we add the exponents. In this case, the base is 9, and we have 9 raised to the power of 9 multiplied by 9 raised to the power of -6.
Using the exponent rule, we add the exponents of 9 in the expression:
9^9 x 9^(-6) = 9^(9 + (-6))
Now, we simplify 9 + (-6):
9 + (-6) = 3
Therefore, the expression can be written as:
9^(9 - 6) = 9^3
To find the numerical equivalent of 9^3, we calculate:
9^3 = 9 x 9 x 9 = 729
Therefore, the numerical equivalent of 9^9 x 9^(-6) is 729.