What is the value of the mathematical expression below? \frac{2^2 \times 2^3}{2} - \frac{2… — ACT

What is the value of the mathematical expression below?

\frac{2^2 \times 2^3}{2} - \frac{2^4}{|-9 + 5|}

Evaluating the first term gives 16, and evaluating the second term gives 4. Subtracting 4 from 16 results in the correct value of 12.

Evaluate the first term:

\frac{2^2 \times 2^3}{2}

According to the product rule of exponents,

2^2 \times 2^3 = 2^{2+3} = 2^5 = 32

. Dividing this by the denominator yields

32 \div 2 = 16

Evaluate the second term:

\frac{2^4}{|-9 + 5|}

First, evaluate the expression inside the absolute value brackets:

-9 + 5 = -4

. The absolute value is

|-4| = 4

. Then evaluate the exponent in the numerator:

2^4 = 16

. Dividing the numerator by the denominator yields

16 \div 4 = 4

Subtract the second term from the first term

Subtracting the result of the second term from the first term yields

16 - 4 = 12

Order of Operations and Number Properties

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