Questions: Simplify: 6.0 × 10^-22 / 2.0 × 10^-9 =

Transcript text: Simplify: \[ \frac{6.0 \times 10^{-22}}{2.0 \times 10^{-9}}= \] $\square$

Solution

Step 1: Write the expression

\[ \frac{6.0 \times 10^{-22}}{2.0 \times 10^{-9}} \]

Step 2: Separate the coefficients and the powers of 10

\[ \frac{6.0}{2.0} \times \frac{10^{-22}}{10^{-9}} \]

Step 3: Simplify the coefficients

\[ 3.0 \times \frac{10^{-22}}{10^{-9}} \]

Step 4: Simplify the powers of 10 using the rule $ \frac{10^a}{10^b} = 10^{a-b} $

\[ 3.0 \times 10^{-22 - (-9)} = 3.0 \times 10^{-13} \]

$\boxed{3.0 \times 10^{-13}}$

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