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

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

Calculate exponents

2^{2} : 4

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

Multiply and divide (left to right)

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

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

Multiply and divide (left to right)

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

= 4 - 2

Add and subtract (left to right)

4 - 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