Evaluate Using Scientific Notation (310^6)(810^-4)

$(3 \cdot 10^{6}) (8 \cdot 10^{- 4})$

Step 1

Multiply $3$ by $8$ .

$24 (10^{6} \cdot 10^{- 4})$

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.

$24 \cdot 10^{6 - 4}$

Subtract $4$ from $6$ .

$24 \cdot 10^{2}$

Step 3

Move the decimal point in $24$ to the left by $1$ place and increase the power of $10^{2}$ by $1$ .

$2.4 \cdot 10^{3}$

Evaluate Using Scientific Notation (3*10^6)(8*10^-4)