f(5) = -\frac143(125) + 33(25) - \frac2113(5) + 45 = -\frac17503 + 825 - \frac10553 + 45 - Moon Smoking
Solving the Expression: f(5) = β14/3(125) + 33(25) β 211/3(5) + 45
Solving the Expression: f(5) = β14/3(125) + 33(25) β 211/3(5) + 45
Calculating complex algebraic expressions step-by-step can be challenging, but simplifying f(5) = β14/3(125) + 33(25) β 211/3(5) + 45 step by step not only reveals the correct value but also strengthens your understanding of arithmetic and algebra. In this article, we break down the expression f(5) together and solve it precisely.
Understanding the Context
Understanding the Expression
The function defined as
f(5) = β14/3(125) + 33(25) β 211/3(5) + 45
involves multiple multiplicative and additive terms. To evaluate this correctly, we follow proper order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
Step-by-Step Evaluation
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Key Insights
Step 1: Evaluate the multiplicative terms involving fractions.
First, compute each fraction multiplied by the numbers:
β14/3 Γ 125 = β(14 Γ 125)/3 = β1750/333 Γ 25 = 825β211/3 Γ 5 = β(211 Γ 5)/3 = β1055/3
So, the expression becomes:
f(5) = β1750/3 + 825 β 1055/3 + 45
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Step 2: Combine the fractional terms.
Since both β1750/3 and β1055/3 share the same denominator, add them:
β1750/3 β 1055/3 = (β1750 β 1055)/3 = β2805/3
Step 3: Combine constant terms.
825 + 45 = 870
Step 4: Rewrite the expression with combined terms:
f(5) = β2805/3 + 870
