Evaluate Using Scientific Notation (4.2710^-5)(910^9)

$(4.27 \cdot 10^{- 5}) (9 \cdot 10^{9})$

Step 1

Multiply $4.27$ by $9$ .

$38.43 (10^{- 5} \cdot 10^{9})$

Step 2

Multiply $10^{- 5}$ by $10^{9}$ by adding the exponents.

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

$38.43 \cdot 10^{- 5 + 9}$

Add $- 5$ and $9$ .

$38.43 \cdot 10^{4}$

Step 3

Move the decimal point in $38.43$ to the left by $1$ place and increase the power of $10^{4}$ by $1$ .

$3.843 \cdot 10^{5}$

Evaluate Using Scientific Notation (4.27*10^-5)(9*10^9)