Basic Math Examples

$50 \div (- 5) + (- 1 - {(- 2)}^{5} \div {(- 2)}^{3})$

Step 1

Remove parentheses.

$50 \div (- 5) - 1 - {(- 2)}^{5} \div {(- 2)}^{3}$

Step 2

Simplify each term.

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Step 2.1

Divide $50$ by $- 5$ .

$- 10 - 1 - {(- 2)}^{5} \div {(- 2)}^{3}$

Step 2.2

Rewrite the division as a fraction.

$- 10 - 1 - \frac{{(- 2)}^{5}}{{(- 2)}^{3}}$

Step 2.3

Cancel the common factor of ${(- 2)}^{5}$ and ${(- 2)}^{3}$ .

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Step 2.3.1

Factor ${(- 2)}^{3}$ out of ${(- 2)}^{5}$ .

$- 10 - 1 - \frac{{(- 2)}^{3} {(- 2)}^{2}}{{(- 2)}^{3}}$

Step 2.3.2

Cancel the common factors.

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Step 2.3.2.1

Multiply by $1$ .

$- 10 - 1 - \frac{{(- 2)}^{3} {(- 2)}^{2}}{{(- 2)}^{3} \cdot 1}$

Step 2.3.2.2

Cancel the common factor.

$- 10 - 1 - \frac{{(- 2)}^{3} {(- 2)}^{2}}{{(- 2)}^{3} \cdot 1}$

Step 2.3.2.3

Rewrite the expression.

$- 10 - 1 - \frac{{(- 2)}^{2}}{1}$

Step 2.3.2.4

Divide ${(- 2)}^{2}$ by $1$ .

$- 10 - 1 - {(- 2)}^{2}$

Step 2.4

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

$- 10 - 1 - 1 \cdot 4$

Step 2.5

Multiply $- 1$ by $4$ .

$- 10 - 1 - 4$

Step 3

Simplify by subtracting numbers.

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Step 3.1

Subtract $1$ from $- 10$ .

$- 11 - 4$

Step 3.2

Subtract $4$ from $- 11$ .

$- 15$