Basic Math Examples

$1000 {(1 + \frac{7}{4})}^{4 \cdot 3}$

Step 1

Simplify the expression.

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Step 1.1

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

$1000 {(\frac{4}{4} + \frac{7}{4})}^{4 \cdot 3}$

Step 1.2

Combine the numerators over the common denominator.

$1000 {(\frac{4 + 7}{4})}^{4 \cdot 3}$

Step 1.3

Add $4$ and $7$ .

$1000 {(\frac{11}{4})}^{4 \cdot 3}$

Step 1.4

Multiply $4$ by $3$ .

$1000 {(\frac{11}{4})}^{12}$

Step 1.5

Apply the product rule to $\frac{11}{4}$ .

$1000 \frac{11^{12}}{4^{12}}$

Step 1.6

Raise $11$ to the power of $12$ .

$1000 \frac{3138428376721}{4^{12}}$

Step 1.7

Raise $4$ to the power of $12$ .

$1000 (\frac{3138428376721}{16777216})$

Step 2

Cancel the common factor of $8$ .

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Step 2.1

Factor $8$ out of $1000$ .

$8 (125) \frac{3138428376721}{16777216}$

Step 2.2

Factor $8$ out of $16777216$ .

$8 \cdot 125 \frac{3138428376721}{8 \cdot 2097152}$

Step 2.3

Cancel the common factor.

$8 \cdot 125 \frac{3138428376721}{8 \cdot 2097152}$

Step 2.4

Rewrite the expression.

$125 (\frac{3138428376721}{2097152})$

Step 3

Combine $125$ and $\frac{3138428376721}{2097152}$ .

$\frac{125 \cdot 3138428376721}{2097152}$

Step 4

Multiply $125$ by $3138428376721$ .

$\frac{392303547090125}{2097152}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{392303547090125}{2097152}$

Decimal Form:

$187064908.547461$

Mixed Number Form:

$187064908 \frac{1148109}{2097152}$