Algebra Examples

$81^{7} - 27^{9} - 9^{13}$ by $45$

Step 1

Write the problem as a mathematical expression.

$\frac{81^{7} - 27^{9} - 9^{13}}{45}$

Step 2

Simplify the numerator.

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Step 2.1

Raise $81$ to the power of $7$ .

$\frac{22876792454961 - 27^{9} - 9^{13}}{45}$

Step 2.2

Raise $27$ to the power of $9$ .

$\frac{22876792454961 - 1 \cdot 7625597484987 - 9^{13}}{45}$

Step 2.3

Multiply $- 1$ by $7625597484987$ .

$\frac{22876792454961 - 7625597484987 - 9^{13}}{45}$

Step 2.4

Raise $9$ to the power of $13$ .

$\frac{22876792454961 - 7625597484987 - 1 \cdot 2541865828329}{45}$

Step 2.5

Multiply $- 1$ by $2541865828329$ .

$\frac{22876792454961 - 7625597484987 - 2541865828329}{45}$

Step 2.6

Subtract $7625597484987$ from $22876792454961$ .

$\frac{15251194969974 - 2541865828329}{45}$

Step 2.7

Subtract $2541865828329$ from $15251194969974$ .

$\frac{12709329141645}{45}$

Step 3

Divide $12709329141645$ by $45$ .

$282429536481$