find the numerical equivalent of 3^9 ⋅ 3^-5
To find the numerical equivalent of 3^9 ⋅ 3^-5, we can simplify the expression by using the property of exponents that states: a^m ⋅ a^n = a^(m+n).
Let's apply this property to the expression:
3^9 ⋅ 3^-5 = 3^(9 + (-5)) = 3^4.
Therefore, the numerical equivalent of 3^9 ⋅ 3^-5 is 3^4.
To find the numerical equivalent of 3^9 ⋅ 3^-5, we can simplify the expression.
First, let's recall the exponent rule: a^m ⋅ a^n = a^(m+n).
Applying this rule to our expression, we have:
3^9 ⋅ 3^-5 = 3^(9 + -5) = 3^4
Now, calculate 3^4:
3^4 = 3 × 3 × 3 × 3 = 81.
Therefore, the numerical equivalent of 3^9 ⋅ 3^-5 is 81.