Question

Which of the following is equivalent to 10^4 x 10^3? A 10^7 B 20^12 C 20^7 D 10^12

Answer 1

$A)10^7$

Explanation

Let's remember some properties for the exponents

$\begin{gathered} a^m\cdot a^n=a^{m+n} \\ \frac{a^m}{a^n}=a^{m-n} \\ a^{-m}=\frac{1}{a^m} \end{gathered}$

hence

let's calculate the product

$\begin{gathered} 10^4\cdot10^3 \\ 10^4\cdot10^3=10^{4+3}=10^7 \\ 10^4\cdot10^3=10^7 \end{gathered}$

therefore, the answer is

$A)10^7$

I hope this helps you