Evaluate Using Scientific Notation (2.810^-2)(9.110^6)

$(2.8 \cdot 10^{- 2}) (9.1 \cdot 10^{6})$

Step 1

Multiply $2.8$ by $9.1$ .

$25.48 (10^{- 2} \cdot 10^{6})$

Step 2

Multiply $10^{- 2}$ by $10^{6}$ by adding the exponents.

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

$25.48 \cdot 10^{- 2 + 6}$

Add $- 2$ and $6$ .

$25.48 \cdot 10^{4}$

Step 3

Move the decimal point in $25.48$ to the left by $1$ place and increase the power of $10^{4}$ by $1$ .

$2.548 \cdot 10^{5}$

Evaluate Using Scientific Notation (2.8*10^-2)(9.1*10^6)