Evaluate (1.0810^-3)(9.310^-3)

$(1.08 \cdot 10^{- 3}) (9.3 \cdot 10^{- 3})$

Step 1

Multiply $1.08$ by $9.3$ .

$10.044 (10^{- 3} \cdot 10^{- 3})$

Step 2

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

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

$10.044 \cdot 10^{- 3 - 3}$

Subtract $3$ from $- 3$ .

$10.044 \cdot 10^{- 6}$

Step 3

Move the decimal point in $10.044$ to the left by $1$ place and increase the power of $10^{- 6}$ by $1$ .

$1.0044 \cdot 10^{- 5}$

Evaluate (1.08*10^-3)(9.3*10^-3)