# How do you simplify (5times10^3)(1.8times10^-7)?

Jul 23, 2017

The answer is $9 \times {10}^{- 4}$.

Refer to the explanation for the process.

#### Explanation:

Simplify:

$\left(5 \times {10}^{3}\right) \left(1.8 \times {10}^{- 7}\right)$

This expression can be rewritten as follows:

$5 \times {10}^{3} \times 1.8 \times {10}^{- 7}$

Gather like terms.

$5 \times 1.8 \times {10}^{3} \times {10}^{- 7}$

Multiply the coefficients $5$ and $1.8$.

$5 \times 1.8 = 9$

Apply the product rule of exponents ${a}^{m} {a}^{n} = {a}^{m + n}$.

${10}^{3} \times {10}^{- 7} =$

10^((3+(-7))=

${10}^{- 4}$

Put the coefficient and base together.

$9 \times {10}^{- 4}$