# How do you simplify and write (2.3times10^6)(4.2times10^-11) in standard form?

Jul 5, 2016

$9.66 \times {10}^{- 5}$

#### Explanation:

Rather than worrying about the decimal at the initial stages write as

$\frac{23}{10} \times {10}^{6} \times \frac{42}{10} \times \frac{1}{10} ^ 11$

$23 \times 42 \times {10}^{5} \times \frac{1}{10} ^ 12$

$966 \times \frac{1}{10} ^ 7$

$9.66 \times {10}^{2} / {10}^{7}$

$9.66 \times {10}^{- 5}$