Basic Math Examples

$\frac{(1.9 \cdot 10^{18}) (7.5 \cdot 10^{16})}{(4.3 \cdot 10^{14}) (1.1 \cdot 10^{20})}$

Step 1

Multiply $1.9$ by $7.5$ .

$\frac{14.25 (10^{18} \cdot 10^{16})}{(4.3 \cdot 10^{14}) (1.1 \cdot 10^{20})}$

Step 2

Multiply $10^{18}$ by $10^{16}$ by adding the exponents.

Tap for more steps...

Step 2.1

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

$\frac{14.25 \cdot 10^{18 + 16}}{(4.3 \cdot 10^{14}) (1.1 \cdot 10^{20})}$

Step 2.2

Add $18$ and $16$ .

$\frac{14.25 \cdot 10^{34}}{(4.3 \cdot 10^{14}) (1.1 \cdot 10^{20})}$

Step 3

Multiply $4.3$ by $1.1$ .

$\frac{14.25 \cdot 10^{34}}{4.73 (10^{14} \cdot 10^{20})}$

Step 4

Multiply $10^{14}$ by $10^{20}$ by adding the exponents.

Tap for more steps...

Step 4.1

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

$\frac{14.25 \cdot 10^{34}}{4.73 \cdot 10^{14 + 20}}$

Step 4.2

Add $14$ and $20$ .

$\frac{14.25 \cdot 10^{34}}{4.73 \cdot 10^{34}}$

Step 5

Divide using scientific notation.

Tap for more steps...

Step 5.1

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

$(\frac{14.25}{4.73}) (\frac{10^{34}}{10^{34}})$

Step 5.2

Divide $14.25$ by $4.73$ .

$3.01268498 \frac{10^{34}}{10^{34}}$

Step 5.3

Subtract the exponent from the denominator from the exponent of the numerator for the same base

$3.01268498 \cdot 10^{34 + 34 \cdot - 1}$

Step 5.4

Multiply $34$ by $- 1$ .

$3.01268498 \cdot 10^{34 - 34}$

Step 5.5

Subtract $34$ from $34$ .

$3.01268498 \cdot 10^{0}$

Step 6

Convert $3.01268498 \cdot 10^{0}$ from scientific notation.

$3.01268498$