Evaluate Using Scientific Notation (7.210^-1)(4*10^-7)

$(7.2 \cdot 10^{- 1}) \cdot (4 \cdot 10^{- 7})$

Step 1

Multiply $7.2$ by $4$ .

$28.8 (10^{- 1} \cdot 10^{- 7})$

Step 2

Multiply $10^{- 1}$ by $10^{- 7}$ by adding the exponents.

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

$28.8 \cdot 10^{- 1 - 7}$

Subtract $7$ from $- 1$ .

$28.8 \cdot 10^{- 8}$

Step 3

Move the decimal point in $28.8$ to the left by $1$ place and increase the power of $10^{- 8}$ by $1$ .

$2.88 \cdot 10^{- 7}$

Evaluate Using Scientific Notation (7.2*10^-1)*(4*10^-7)