Evaluate Using Scientific Notation (7.110^-5)(6.710^-6)

$(7.1 \cdot 10^{- 5}) (6.7 \cdot 10^{- 6})$

Step 1

Multiply $7.1$ by $6.7$ .

$47.57 (10^{- 5} \cdot 10^{- 6})$

Step 2

Multiply $10^{- 5}$ by $10^{- 6}$ by adding the exponents.

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

$47.57 \cdot 10^{- 5 - 6}$

Subtract $6$ from $- 5$ .

$47.57 \cdot 10^{- 11}$

Step 3

Move the decimal point in $47.57$ to the left by $1$ place and increase the power of $10^{- 11}$ by $1$ .

$4.757 \cdot 10^{- 10}$

Evaluate Using Scientific Notation (7.1*10^-5)(6.7*10^-6)