Evaluate Using Scientific Notation (710^8)(2.410^-4)

$(7 \cdot 10^{8}) (2.4 \cdot 10^{- 4})$

Step 1

Multiply $7$ by $2.4$ .

$16.8 (10^{8} \cdot 10^{- 4})$

Step 2

Multiply $10^{8}$ by $10^{- 4}$ by adding the exponents.

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

$16.8 \cdot 10^{8 - 4}$

Subtract $4$ from $8$ .

$16.8 \cdot 10^{4}$

Step 3

Move the decimal point in $16.8$ to the left by $1$ place and increase the power of $10^{4}$ by $1$ .

$1.68 \cdot 10^{5}$

Evaluate Using Scientific Notation (7*10^8)(2.4*10^-4)