Help this is due today.

 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.

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