Answer: Dominic, 5⁵ · 5² = 5⁷
5⁵ means 5×5×5×5×5, five factors of 5.
5² means 5×5, two factors of 5.
When we multiply these together we get 7 factors of 5:
5⁵ × 5² = (5×5×5×5×5)×(5×5) = 5×5×5×5×5×5×5 = 5⁷
Multiplication of powers of a common base are simple; we keep the base and add up the exponents to get the exponent of the product.