# How do you simplify and write (2.34times10^-8)(5.7times10^-4) in standard form?

Sep 26, 2017

Scientific notation: $13.338 \times {10}^{- 12}$

Standard form: $0.00000000001338$

Refer to the explanation for the process.

#### Explanation:

$\left(2.34 \times {10}^{- 8}\right) \left(5.7 \times {10}^{- 4}\right)$

Remove the parentheses.

$2.34 \times {10}^{- 8} \times 5.7 \times {10}^{- 4}$

Multiply the coefficients.

$13.338 \times {10}^{- 8} \times {10}^{- 4}$

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

$13.338 \times {10}^{\left(- 8 + \left(- 4\right)\right)}$

Simplify.

$13.338 \times {10}^{- 12}$

Standard Form: move the decimal to the left 12 places.

$0.00000000001338$