Answer:
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
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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