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The problem asks to find the value of the expression $\frac{6^{1/4} 294^{1/4}}{216^{1/4}}$.

ExponentsRadicalsSimplification
2025/3/19

The problem provides a table showing the distribution of inhabitants of a municipality based on thei...

Descriptive StatisticsHistogramsFrequency PolygonsCumulative FrequencyMeasures of Central TendencyMeasures of DispersionArithmetic MeanGeometric MeanHarmonic MeanQuadratic Mean
2025/3/19

The problem is to simplify the expression $(\frac{1}{x} - x)^3 + (x + \frac{1}{x})^3$, given that $x...

PolynomialsLogarithmsSimplificationExponentsAlgebraic Manipulation
2025/3/19

We are asked to simplify two expressions: (1) Given that $x$ is real and $x \ne 0$, simplify the exp...

Algebraic SimplificationLogarithmsExponentsPolynomials
2025/3/19

Given that $x$ is real and $x \neq 0$, simplify the expression $(x-\frac{1}{x})^3 + (x+\frac{1}{x})^...

Algebraic simplificationPolynomialsExpansionExponents
2025/3/19

The problem asks in how many ways can a school Principal and his wife, along with three other teache...

PermutationsCombinatoricsArrangementsFactorials
2025/3/19

A school principal, his wife, and three other teachers are to be seated in a row. The principal and ...

PermutationsCombinatoricsArrangements
2025/3/19

A school principal, his wife, and three other teachers are to be seated in a row. The principal and ...

PermutationsCombinatoricsCounting
2025/3/19

A man wants to distribute money. He gives $\frac{2}{5}$ to his wife and divides the rest equally amo...

FractionsWord ProblemLinear EquationsRatio and Proportion
2025/3/19

次の不定積分を求めよ。 $\int \frac{dx}{x^2 + 2x + 3}$

積分不定積分置換積分三角関数
2025/3/19