The product of (2² x 5⁵)(2⁵ x 5³) that can be represented as 2^a x 5^b is; 2⁷ × 5⁸
We want to find the product of (2² x 5⁵)(2⁵ x 5³) that can be represented as 2^a x 5^b
From laws of exponents, we know that;
y² × y³ = y⁽²⁺³) = y⁵
Similarly, for our question we see that; (2² x 5⁵)(2⁵ x 5³) can be expressed using the laws of exponents as;
(2² ⁺ ⁵) * (5⁵ ⁺ ³) = 2⁷ × 5⁸
Read more about Laws of Exponents at; https://brainly.com/question/11761858
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