Evaluate Using Scientific Notation (7.0210^-8)(6.910^-3)

$(7.02 \cdot 10^{- 8}) (6.9 \cdot 10^{- 3})$

Step 1

Multiply $7.02$ by $6.9$ .

$48.438 (10^{- 8} \cdot 10^{- 3})$

Step 2

Multiply $10^{- 8}$ by $10^{- 3}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$48.438 \cdot 10^{- 8 - 3}$

Subtract $3$ from $- 8$ .

$48.438 \cdot 10^{- 11}$

Step 3

Move the decimal point in $48.438$ to the left by $1$ place and increase the power of $10^{- 11}$ by $1$ .

$4.8438 \cdot 10^{- 10}$

Evaluate Using Scientific Notation (7.02*10^-8)(6.9*10^-3)