Algebra Examples

8^{6} - 64 {(8)}^{4} + 8^{2} - 7 \cdot 8 - 51

$8^{6} - 64 {(8)}^{4} + 8^{2} - 7 \cdot 8 - 51$

Step 1

Simplify each term.

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Step 1.1

Raise

8

$8$ to the power of

6

$6$ .

262144 - 64 {(8)}^{4} + 8^{2} - 7 \cdot 8 - 51

$262144 - 64 {(8)}^{4} + 8^{2} - 7 \cdot 8 - 51$

Step 1.2

Raise

8

$8$ to the power of

4

$4$ .

262144 - 64 \cdot 4096 + 8^{2} - 7 \cdot 8 - 51

$262144 - 64 \cdot 4096 + 8^{2} - 7 \cdot 8 - 51$

Step 1.3

Multiply

- 64

$- 64$ by

4096

$4096$ .

262144 - 262144 + 8^{2} - 7 \cdot 8 - 51

$262144 - 262144 + 8^{2} - 7 \cdot 8 - 51$

Step 1.4

Raise

8

$8$ to the power of

2

$2$ .

262144 - 262144 + 64 - 7 \cdot 8 - 51

$262144 - 262144 + 64 - 7 \cdot 8 - 51$

Step 1.5

Multiply

- 7

$- 7$ by

8

$8$ .

262144 - 262144 + 64 - 56 - 51

$262144 - 262144 + 64 - 56 - 51$

262144 - 262144 + 64 - 56 - 51

$262144 - 262144 + 64 - 56 - 51$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract

262144

$262144$ from

262144

$262144$ .

0 + 64 - 56 - 51

$0 + 64 - 56 - 51$

Step 2.2

Add

0

$0$ and

64

$64$ .

64 - 56 - 51

$64 - 56 - 51$

Step 2.3

Subtract

56

$56$ from

64

$64$ .

8 - 51

$8 - 51$

Step 2.4

Subtract

51

$51$ from

8

$8$ .

- 43

$- 43$

- 43

$- 43$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$