Basic Math Examples

$(\frac{4^{3} - 2}{3 {(7 + 4)}^{7}}) + 120$

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

Raise $4$ to the power of $3$ .

$\frac{64 - 2}{3 {(7 + 4)}^{7}} + 120$

Step 1.1.2

Subtract $2$ from $64$ .

$\frac{62}{3 {(7 + 4)}^{7}} + 120$

Step 1.2

Simplify the denominator.

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Step 1.2.1

Add $7$ and $4$ .

$\frac{62}{3 \cdot 11^{7}} + 120$

Step 1.2.2

Raise $11$ to the power of $7$ .

$\frac{62}{3 \cdot 19487171} + 120$

Step 1.3

Multiply $3$ by $19487171$ .

$\frac{62}{58461513} + 120$

Step 2

To write $120$ as a fraction with a common denominator, multiply by $\frac{58461513}{58461513}$ .

$\frac{62}{58461513} + 120 \cdot \frac{58461513}{58461513}$

Step 3

Combine $120$ and $\frac{58461513}{58461513}$ .

$\frac{62}{58461513} + \frac{120 \cdot 58461513}{58461513}$

Step 4

Combine the numerators over the common denominator.

$\frac{62 + 120 \cdot 58461513}{58461513}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $120$ by $58461513$ .

$\frac{62 + 7015381560}{58461513}$

Step 5.2

Add $62$ and $7015381560$ .

$\frac{7015381622}{58461513}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7015381622}{58461513}$

Decimal Form:

$120.00000106 \dots$

Mixed Number Form:

$120 \frac{62}{58461513}$