Evaluate Using Scientific Notation (5.210^-2)(8.0*10^-4)

$(5.2 \cdot 10^{- 2}) \cdot (8 \cdot 10^{- 4})$

Step 1

Multiply $5.2$ by $8$ .

$41.6 (10^{- 2} \cdot 10^{- 4})$

Step 2

Multiply $10^{- 2}$ by $10^{- 4}$ by adding the exponents.

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

$41.6 \cdot 10^{- 2 - 4}$

Subtract $4$ from $- 2$ .

$41.6 \cdot 10^{- 6}$

Step 3

Move the decimal point in $41.6$ to the left by $1$ place and increase the power of $10^{- 6}$ by $1$ .

$4.16 \cdot 10^{- 5}$

Evaluate Using Scientific Notation (5.2*10^-2)*(8.0*10^-4)