Evaluate (1.8410^15)÷7.4510^-2

$1.84 \cdot 10^{15} \div 7.45 \cdot 10^{- 2}$

Step 1

Divide using scientific notation.

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{1.84}{7.45}) (\frac{10^{15}}{1}) \cdot 10^{- 2}$

Divide $1.84$ by $7.45$ .

$0.24697986 \frac{10^{15}}{1} \cdot 10^{- 2}$

Divide $10^{15}$ by $1$ .

$0.24697986 \cdot 10^{15} \cdot 10^{- 2}$

Step 2

Multiply $10^{15}$ by $10^{- 2}$ by adding the exponents.

Move $10^{- 2}$ .

$0.24697986 \cdot (10^{- 2} \cdot 10^{15})$

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

$0.24697986 \cdot 10^{- 2 + 15}$

Add $- 2$ and $15$ .

$0.24697986 \cdot 10^{13}$

Step 3

Move the decimal point in $0.24697986$ to the right by $1$ place and decrease the power of $10^{13}$ by $1$ .

$2.46979865 \cdot 10^{12}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$2.46979865 \cdot 10^{12}$

Expanded Form:

$2469798657718.12$

Evaluate (1.84*10^15)÷7.45*10^-2