Question

Simplify the expression 5^3 x 25 in exponential form.

(A) 5^4
(B) 5^5
(C) 5^6
(D) 5^7

Answer 1

To simplify the expression 5^3 x 25 in exponential form, rewrite 25 as 5^2 and multiply the exponents to get 5^5.

Step-by-step explanation:

To simplify the given expression 5^3 x 25 in exponential form, we employ exponent rules. Initially, we express 25 as 5^2. Subsequently, by combining the exponents, we multiply 5^3 and 5^2 to obtain 5^{3+2}, resulting in 5^5. Consequently, the simplified expression in exponential form is 5^5, where the exponent 5 represents the product of the original exponents. This process showcases the application of fundamental rules of exponents, facilitating a clearer representation of the mathematical expression.