Basic Math Examples

$144$ , $0 {(1 + \frac{5}{100})}^{18}$

Step 1

Cancel the common factor of $5$ and $100$ .

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Step 1.1

Factor $5$ out of $5$ .

$144, 0 {(1 + \frac{5 (1)}{100})}^{18}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $100$ .

$144, 0 {(1 + \frac{5 \cdot 1}{5 \cdot 20})}^{18}$

Step 1.2.2

Cancel the common factor.

$144, 0 {(1 + \frac{5 \cdot 1}{5 \cdot 20})}^{18}$

Step 1.2.3

Rewrite the expression.

$144, 0 {(1 + \frac{1}{20})}^{18}$

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$144, 0 {(\frac{20}{20} + \frac{1}{20})}^{18}$

Step 2.2

Combine the numerators over the common denominator.

$144, 0 {(\frac{20 + 1}{20})}^{18}$

Step 2.3

Add $20$ and $1$ .

$144, 0 {(\frac{21}{20})}^{18}$

Step 2.4

Apply the product rule to $\frac{21}{20}$ .

$144, 0 (\frac{21^{18}}{20^{18}})$

Step 2.5

Raise $21$ to the power of $18$ .

$144, 0 (\frac{630880792396716000000000}{20^{18}})$

Step 2.6

Raise $20$ to the power of $18$ .

$144, 0 (\frac{630880792396716000000000}{262144000000000000000000})$

Step 3

Cancel the common factor of $630880792396716000000000$ and $262144000000000000000000$ .

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Step 3.1

Factor $4000000000$ out of $630880792396716000000000$ .

$144, 0 (\frac{4000000000 (157720198099179)}{262144000000000000000000})$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $4000000000$ out of $262144000000000000000000$ .

$144, 0 (\frac{4000000000 \cdot 157720198099179}{4000000000 \cdot 65536000000000})$

Step 3.2.2

Cancel the common factor.

$144, 0 (\frac{4000000000 \cdot 157720198099179}{4000000000 \cdot 65536000000000})$

Step 3.2.3

Rewrite the expression.

$144, 0 (\frac{157720198099179}{65536000000000})$

Step 4

Multiply $0$ by $\frac{157720198099179}{65536000000000}$ .

$144, 0$

Step 5

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{144 + 0}{2}$

Step 6

Cancel the common factor of $144 + 0$ and $2$ .

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Step 6.1

Factor $2$ out of $144$ .

$\frac{2 \cdot 72 + 0}{2}$

Step 6.2

Factor $2$ out of $0$ .

$\frac{2 \cdot 72 + 2 \cdot 0}{2}$

Step 6.3

Factor $2$ out of $2 \cdot 72 + 2 \cdot 0$ .

$\frac{2 \cdot (72 + 0)}{2}$

Step 6.4

Cancel the common factors.

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Step 6.4.1

Factor $2$ out of $2$ .

$\frac{2 \cdot (72 + 0)}{2 (1)}$

Step 6.4.2

Cancel the common factor.

$\frac{2 \cdot (72 + 0)}{2 \cdot 1}$

Step 6.4.3

Rewrite the expression.

$\frac{72 + 0}{1}$

Step 6.4.4

Divide $72 + 0$ by $1$ .

$72 + 0$

Step 7

Add $72$ and $0$ .

$72$