Question

Which of the following would be equivalent to 3^2 ⋅ 3^5?

3 to the 10th power over 3 to the 3rd power
3 to the 10th power over 3 to the 7th power
3^1 ⋅ 3^7

Answer 1

remember your exponent rules

when you're multiplying the same base, keep the base and add up the exponents
when you're dividing the same base, keep the base and subtract the exponents (numerator exponent minus denominator exponent)

rules 3 and 4 basically