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`

Step-by-step explanation

Let's remember some properties for the exponents

`\begin{gathered} a^m\cdot a^n=a^(m+n) \\ (a^m)/(a^n)=a^(m-n) \\ a^(-m)=(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