The solution to 1/4 (-2)^2 is 1

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1/4 (-2)^2

Solution

\frac{1}{4} (- 2)^{2}

1

Solution steps

\frac{1}{4} (- 2)^{2}

Follow the PEMDAS order of operations

Calculate exponents

(- 2)^{2} : 4

(- 2)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- 2)^{2} = 2^{2} = 4

= 4

= \frac{1}{4} \cdot 4

Multiply and divide (left to right)

\frac{1}{4} \cdot 4 : 1

\frac{1}{4} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{1}{4} \cdot \frac{4}{1}

Cross-cancel common factor:

4

= 1

= 1

2^{0} + 1

2 (0) + 1

\frac{2}{3} + (\frac{- 1}{8} + \frac{3}{4})

2^{3} + 2

(0)^{2} - 2