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

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

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1/4 2^4-1/2 2^2

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

2

Solution steps

\frac{1}{4} \cdot 2^{4} - \frac{1}{2} \cdot 2^{2}

Follow the PEMDAS order of operations

Calculate exponents

2^{4} : 16

2^{4}

2^{4} = 16

= 16

= \frac{1}{4} \cdot 16 - \frac{1}{2} \cdot 2^{2}

Calculate exponents

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= \frac{1}{4} \cdot 16 - \frac{1}{2} \cdot 4

Multiply and divide (left to right)

\frac{1}{4} \cdot 16 : 4

\frac{1}{4} \cdot 16

Convert element to fraction:

16 = \frac{16}{1}

= \frac{1}{4} \cdot \frac{16}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 16}{4 \cdot 1}

\frac{1 \cdot 16}{4 \cdot 1} = 4

\frac{1 \cdot 16}{4 \cdot 1}

\frac{1 \cdot 16}{4 \cdot 1} = \frac{16}{4}

\frac{1 \cdot 16}{4 \cdot 1}

Multiply the numbers:

1 \cdot 16 = 16

= \frac{16}{4 \cdot 1}

Multiply the numbers:

4 \cdot 1 = 4

= \frac{16}{4}

= \frac{16}{4}

Divide the numbers:

\frac{16}{4} = 4

= 4

= 4

= 4 - \frac{1}{2} \cdot 4

Multiply and divide (left to right)

\frac{1}{2} \cdot 4 : 2

\frac{1}{2} \cdot 4

Convert element to fraction:

4 = \frac{4}{1}

= \frac{1}{2} \cdot \frac{4}{1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot 4}{2 \cdot 1}

\frac{1 \cdot 4}{2 \cdot 1} = 2

\frac{1 \cdot 4}{2 \cdot 1}

\frac{1 \cdot 4}{2 \cdot 1} = \frac{4}{2}

\frac{1 \cdot 4}{2 \cdot 1}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{2 \cdot 1}

Multiply the numbers:

2 \cdot 1 = 2

= \frac{4}{2}

= \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2

= 2

= 4 - 2

Add and subtract (left to right)

4 - 2 : 2

4 - 2

4 - 2 = 2

= 2

= 2

8 (1)^{2} - 7 (1) + 8

2 (5) + (4^{2} + (- 32)) \div 4

- 4 (- 11 \times 2 - 14)

(- 10) + 35 + 176

\frac{1}{2} (4) + 18