Algebra Examples

$- {(57)}^{0} + {(\frac{1}{2})}^{- 2} - 1^{5}$

Step 1

Simplify each term.

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Step 1.1

Anything raised to $0$ is $1$ .

$- 1 \cdot 1 + {(\frac{1}{2})}^{- 2} - 1^{5}$

Step 1.2

Multiply $- 1$ by $1$ .

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

Step 1.3

Change the sign of the exponent by rewriting the base as its reciprocal.

$- 1 + 2^{2} - 1^{5}$

Step 1.4

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

$- 1 + 4 - 1^{5}$

Step 1.5

One to any power is one.

$- 1 + 4 - 1 \cdot 1$

Step 1.6

Multiply $- 1$ by $1$ .

$- 1 + 4 - 1$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $- 1$ and $4$ .

$3 - 1$

Step 2.2

Subtract $1$ from $3$ .

$2$