# How do you simplify (3.2 times 10^5)(4.7 times 10^4)?

Aug 1, 2018

$1.504 \cdot {10}^{10}$

#### Explanation:

We can essentially multiply the corresponding parts. We can rewrite this as

$\textcolor{s t e e l b l u e}{3.2 \cdot 4.7} \cdot \textcolor{p u r p \le}{{10}^{5} \cdot {10}^{4}}$

Since we have two base-$10$ terms, we can add the exponents. Thus, this simplifies to

$\textcolor{s t e e l b l u e}{15.04} \cdot \textcolor{p u r p \le}{{10}^{9}}$

To get this in the more traditional scientific notation, we can loop the decimal once to the left. This increases the exponent by $1$.

We now have

$1.504 \cdot {10}^{10}$

Hope this helps!