Find the numerical equivalent of 3^9⋅3^−5
To find the numerical equivalent of 3^9⋅3^−5, we can use the rule of exponents that when multiplying two exponential expressions with the same base, we add their exponents.
3^9⋅3^−5 = 3^(9+(-5)) = 3^4 = 81
To find the numerical equivalent of 3^9⋅3^−5, we can use the properties of exponents.
When multiplying powers with the same base, you add the exponents. Therefore, 3^9⋅3^−5 can be rewritten as 3^(9 + -5).
9 + -5 = 4.
So, 3^9⋅3^−5 is equal to 3^4.
Calculating 3^4, we get:
3^4 = 3 × 3 × 3 × 3 = 81.
So, the numerical equivalent of 3^9⋅3^−5 is 81.