# How would you convert 1.54×10^ -10 L into mL?

Aug 29, 2016

Multiply by ${10}^{3}$; equivalently divide thru by ${10}^{-} 3$.

#### Explanation:

$1.54 \times {10}^{-} 10 \cdot L$ $=$ $1.54 \times {10}^{-} 10 \cdot \cancel{L} \times {10}^{3} \cdot m L \cdot \cancel{{L}^{-} 1}$

$=$ $1.54 \times {10}^{-} 7 \cdot m L$

If $1 \cdot \mu L$ $=$ ${10}^{-} 6 \cdot L$, how many $\text{microlitres}$ does the answer represent?

Aug 29, 2016

Multiply the answer by ${10}^{3}$.

#### Explanation:

$1 \cdot L = {10}^{3} \cdot m L$. And $1 \cdot m L = {10}^{-} 3 \cdot L$.

Thus $1.54 \times {10}^{-} 10 \cdot L \times {10}^{3} \cdot m L \cdot {L}^{-} 1$ $=$

$1.54 \times {10}^{-} 7 \cdot m L$