Evaluate Using Scientific Notation (4.310^6)(9.8*10^-4)

$(4.3 \cdot 10^{6}) \cdot (9.8 \cdot 10^{- 4})$

Step 1

Multiply $4.3$ by $9.8$ .

$42.14 (10^{6} \cdot 10^{- 4})$

Step 2

Multiply $10^{6}$ by $10^{- 4}$ by adding the exponents.

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

$42.14 \cdot 10^{6 - 4}$

Subtract $4$ from $6$ .

$42.14 \cdot 10^{2}$

Step 3

Move the decimal point in $42.14$ to the left by $1$ place and increase the power of $10^{2}$ by $1$ .

$4.214 \cdot 10^{3}$

Evaluate Using Scientific Notation (4.3*10^6)*(9.8*10^-4)