Evaluate (8)^6-64(8)^4+(8)^2-7*8-51

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

Step 1

Simplify each term.

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

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

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

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

Multiply $- 64$ by $4096$ .

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

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

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

Multiply $- 7$ by $8$ .

$262144 - 262144 + 64 - 56 - 51$

Step 2

Simplify by adding and subtracting.

Subtract $262144$ from $262144$ .

$0 + 64 - 56 - 51$

Add $0$ and $64$ .

$64 - 56 - 51$

Subtract $56$ from $64$ .

$8 - 51$

Subtract $51$ from $8$ .

$- 43$