最新の問題
We are asked to solve three problems. Problem 10: Solve the equation $\log_2{x} + \log_x{4} = 3$ for...
LogarithmsExponentsRationalizationEquationsRadicals
2025/3/19
The problem asks to express the fraction $\frac{3\sqrt{2} - \sqrt{3}}{2\sqrt{3} - \sqrt{2}}$ in the ...
SimplificationRadicalsRationalizationFractionsExponents
2025/3/19
The problem asks to find the value of the expression $\frac{6^{\frac{1}{2}}9^{\frac{1}{4}}}{216^{\fr...
ExponentsRadicalsSimplificationPrime Factorization
2025/3/19
We are asked to find the value of the expression $\frac{6^{1/2} \cdot 9^{1/4}}{216^{1/4}}$.
ExponentsRadicalsSimplification
2025/3/19
We are asked to solve three problems. First, we need to find the value of $\frac{6^{1/2}9^{1/4}}{216...
ExponentsLogarithmsEquationsAlgebraic ManipulationChange of BaseQuadratic EquationsFactoring
2025/3/19
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