Question

question 17 (mandatory) (1 point) which of the following is equivalent to (10^3)(10^5)(10^2)? a) 10^30 b) 1000^30 c) 10^10 d) 1000^10

Explanation:

Step1: Apply exponent - product rule

When multiplying numbers with the same base \(a^m\times a^n=a^{m + n}\). Here \(a = 10\), \(m = 3\), \(n=5\) and another exponent is \(2\). So \((10^{3})(10^{5})(10^{2})=10^{3 + 5+2}\).

Step2: Calculate the sum of exponents

\(3 + 5+2=10\), so \((10^{3})(10^{5})(10^{2})=10^{10}\).

Answer:

C. \(10^{10}\)