How do you write (6 times 10^2) * (2.3 times 10^4)  in standard from?

Jul 16, 2018

$13 , 800 , 000$

Explanation:

Since we are multiplying, we can group our terms in any order:

We can rewrite this as

$\textcolor{s t e e l b l u e}{6 \cdot 2.3} \cdot \textcolor{p u r p \le}{{10}^{2} \cdot {10}^{4}}$

With the exponents, since we have the same bases, we add the powers to get

$13.8 \cdot {10}^{6}$

Since our exponent is $6$, we loop the decimal $6$ times to the right to get

$13 , 800 , 000$

Hope this helps!