Pre-Algebra Examples

$f (x) = - 5^{3} - 10 \cdot (- 5^{2}) - 26 \cdot - 5 - 1$

Step 1

Rewrite the function as an equation.

$y = - 5^{3} - 10 \cdot (- 5^{2}) - 26 \cdot - 5 - 1$

Step 2

Remove parentheses.

$y = - 5^{3} - 10 \cdot - 1 \cdot 5^{2} - 26 \cdot - 5 - 1$

Step 3

Simplify $- 5^{3} - 10 \cdot - 1 \cdot 5^{2} - 26 \cdot - 5 - 1$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Raise $5$ to the power of $3$ .

$y = - 1 \cdot 125 - 10 \cdot - 1 \cdot 5^{2} - 26 \cdot - 5 - 1$

Step 3.1.2

Multiply $- 1$ by $125$ .

$y = - 125 - 10 \cdot - 1 \cdot 5^{2} - 26 \cdot - 5 - 1$

Step 3.1.3

Multiply $- 10$ by $- 1$ .

$y = - 125 + 10 \cdot 5^{2} - 26 \cdot - 5 - 1$

Step 3.1.4

Raise $5$ to the power of $2$ .

$y = - 125 + 10 \cdot 25 - 26 \cdot - 5 - 1$

Step 3.1.5

Multiply $10$ by $25$ .

$y = - 125 + 250 - 26 \cdot - 5 - 1$

Step 3.1.6

Multiply $- 26$ by $- 5$ .

$y = - 125 + 250 + 130 - 1$

Step 3.2

Simplify by adding and subtracting.

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Step 3.2.1

Add $- 125$ and $250$ .

$y = 125 + 130 - 1$

Step 3.2.2

Add $125$ and $130$ .

$y = 255 - 1$

Step 3.2.3

Subtract $1$ from $255$ .

$y = 254$