Evaluate Using Scientific Notation (8.510^10)(3.710^-5)

$(8.5 \cdot 10^{10}) (3.7 \cdot 10^{- 5})$

Step 1

Multiply $8.5$ by $3.7$ .

$31.45 (10^{10} \cdot 10^{- 5})$

Step 2

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

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

$31.45 \cdot 10^{10 - 5}$

Subtract $5$ from $10$ .

$31.45 \cdot 10^{5}$

Step 3

Move the decimal point in $31.45$ to the left by $1$ place and increase the power of $10^{5}$ by $1$ .

$3.145 \cdot 10^{6}$

Evaluate Using Scientific Notation (8.5*10^10)(3.7*10^-5)