Algebra Examples

$g (x) = x^{6} - 64 x^{4} + x^{2} - 7 x - 51$ , $x = 8$

Step 1

Replace the variable $x$ with $8$ in the expression.

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

Step 2

Simplify the result.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Raise $8$ to the power of $6$ .

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

Step 2.1.2

Raise $8$ to the power of $4$ .

$g (8) = 262144 - 64 \cdot 4096 + {(8)}^{2} - 7 \cdot 8 - 51$

Step 2.1.3

Multiply $- 64$ by $4096$ .

$g (8) = 262144 - 262144 + {(8)}^{2} - 7 \cdot 8 - 51$

Step 2.1.4

Raise $8$ to the power of $2$ .

$g (8) = 262144 - 262144 + 64 - 7 \cdot 8 - 51$

Step 2.1.5

Multiply $- 7$ by $8$ .

$g (8) = 262144 - 262144 + 64 - 56 - 51$

Step 2.2

Simplify by adding and subtracting.

Tap for more steps...

Step 2.2.1

Subtract $262144$ from $262144$ .

$g (8) = 0 + 64 - 56 - 51$

Step 2.2.2

Add $0$ and $64$ .

$g (8) = 64 - 56 - 51$

Step 2.2.3

Subtract $56$ from $64$ .

$g (8) = 8 - 51$

Step 2.2.4

Subtract $51$ from $8$ .

$g (8) = - 43$

Step 2.3

The final answer is $- 43$ .

$- 43$

Step 3