Question

name
date
evaluate.
a. $2(50 - 4 \cdot 3^2)$
b. $\frac{5}{2^3 + 1} + 4 - 2^2$

Explanation:

Step1: Solve exponent inside parentheses

$3^2 = 9$

Step2: Multiply inside parentheses

$4 \cdot 9 = 36$

Step3: Subtract inside parentheses

$50 - 36 = 14$

Step4: Multiply by the outer factor

$2 \cdot 14 = 28$

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Step1: Calculate exponents

$2^3 = 8$, $2^2 = 4$

Step2: Solve denominator

$8 + 1 = 9$

Step3: Simplify the fraction

$\frac{5}{9}$

Step4: Add and subtract left to right

$\frac{5}{9} + 4 - 4 = \frac{5}{9}$

Answer:

a. $28$
b. $\frac{5}{9}$