3^9⋅3^-5
To simplify the expression 3^9 * 3^-5, we can use the exponent rule:
a^m * a^n = a^(m+n)
So, applying this rule, we have:
3^9 * 3^-5 = 3^(9+(-5))
When we add the exponents, we get:
= 3^4
Therefore, 3^9 * 3^-5 simplifies to 3^4.
To simplify the expression 3^9 ⋅ 3^-5, we can apply the exponent rule which states that when two exponents with the same base are multiplied together, the exponents are added.
Step 1: Simplify the exponents
3^9 ⋅ 3^-5 = 3^(9 + -5)
Step 2: Combine the exponents
3^(9 + -5) = 3^4
Therefore, 3^9 ⋅ 3^-5 simplifies to 3^4.