Evaluate (0.410^-6)(0.710^-2)

$(0.4 \cdot 10^{- 6}) (0.7 \cdot 10^{- 2})$

Step 1

Multiply $0.4$ by $0.7$ .

$0.28 (10^{- 6} \cdot 10^{- 2})$

Step 2

Multiply $10^{- 6}$ by $10^{- 2}$ by adding the exponents.

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

$0.28 \cdot 10^{- 6 - 2}$

Subtract $2$ from $- 6$ .

$0.28 \cdot 10^{- 8}$

Step 3

Move the decimal point in $0.28$ to the right by $1$ place and decrease the power of $10^{- 8}$ by $1$ .

$2.8 \cdot 10^{- 9}$

Evaluate (0.4*10^-6)(0.7*10^-2)