Evaluate Using Scientific Notation (5.210^-6)(810^3)

$(5.2 \cdot 10^{- 6}) (8 \cdot 10^{3})$

Step 1

Multiply $5.2$ by $8$ .

$41.6 (10^{- 6} \cdot 10^{3})$

Step 2

Multiply $10^{- 6}$ by $10^{3}$ by adding the exponents.

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

$41.6 \cdot 10^{- 6 + 3}$

Add $- 6$ and $3$ .

$41.6 \cdot 10^{- 3}$

Step 3

Move the decimal point in $41.6$ to the left by $1$ place and increase the power of $10^{- 3}$ by $1$ .

$4.16 \cdot 10^{- 2}$

Evaluate Using Scientific Notation (5.2*10^-6)(8*10^3)