Evaluate Using Scientific Notation (3.510^-5)(310^-2)

$(3.5 \cdot 10^{- 5}) (3 \cdot 10^{- 2})$

Step 1

Multiply $3.5$ by $3$ .

$10.5 (10^{- 5} \cdot 10^{- 2})$

Step 2

Multiply $10^{- 5}$ by $10^{- 2}$ by adding the exponents.

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

$10.5 \cdot 10^{- 5 - 2}$

Subtract $2$ from $- 5$ .

$10.5 \cdot 10^{- 7}$

Step 3

Move the decimal point in $10.5$ to the left by $1$ place and increase the power of $10^{- 7}$ by $1$ .

$1.05 \cdot 10^{- 6}$

Evaluate Using Scientific Notation (3.5*10^-5)(3*10^-2)