Question

5^3 x 2^5 x 10^2 as a product of prime

Answer 1

2^7 × 5^5

Explanation:

10 = 2×5, so your product is ...

5^3 × 2^5 × (2×5)^2

= 5^3 × 2^5 ×2^2 ×5^2

= 2^7 × 5^5

_____

If you remember that the exponent tells you how many times the base is a factor of the product, you should have no trouble with this.

5^3 × 2^5 × 10^2 = (5·5·5)(2·2·2·2·2)(2·5)(2·5) = 2^7 × 5^5