What is 2-1/4 (2)^2 ?

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

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2-1/4 (2)^2

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

1

Solution steps

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

Follow the PEMDAS order of operations

Calculate exponents

(2)^{2} : 4

(2)^{2}

(2)^{2} = 4

= 4

= 2 - \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

= 2 - 1

Add and subtract (left to right)

2 - 1 : 1

2 - 1

2 - 1 = 1

= 1

= 1

(- 8) + 16 - (- 3) + 25 - 40

68 - 13 (7 - 5)^{2} + 2^{3}

\frac{2 ( - 5 ) ^{2} - 3}{- 4 ( - 5 ) + 5}

\frac{5}{3} \div (\frac{2}{5} - \frac{1}{6})

- 2 - 4 - 10 \div (- 2) + 14