Evaluate Using Scientific Notation (3.610^-5)(4.810^8)

$(3.6 \cdot 10^{- 5}) (4.8 \cdot 10^{8})$

Step 1

Multiply $3.6$ by $4.8$ .

$17.28 (10^{- 5} \cdot 10^{8})$

Step 2

Multiply $10^{- 5}$ by $10^{8}$ by adding the exponents.

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

$17.28 \cdot 10^{- 5 + 8}$

Add $- 5$ and $8$ .

$17.28 \cdot 10^{3}$

Step 3

Move the decimal point in $17.28$ to the left by $1$ place and increase the power of $10^{3}$ by $1$ .

$1.728 \cdot 10^{4}$

Evaluate Using Scientific Notation (3.6*10^-5)(4.8*10^8)