Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to simplify the expression $(w^8x^{-3}y^3)^{-2}$ and express the answer using expon...
ExponentsSimplificationAlgebraic ExpressionsPower of a Product RulePower of a Power Rule
2025/5/5
We are asked to simplify the expression $(x^7)^{-2}$ and express the answer using a single exponent.
ExponentsPower of a Power RuleSimplification
2025/5/5
Simplify the expression $(v^2)^{-4}$ and express the answer using a single exponent.
ExponentsPower of a Power RuleSimplification
2025/5/5
The problem asks to simplify the expression $(y^{-7k})^{4}$ and express the answer using a single ex...
ExponentsSimplificationAlgebraic ExpressionsPower of a Power Rule
2025/5/5
The problem asks us to simplify the expression $\frac{2x^2 + 6x + 1}{x(x+1)}$.
Partial FractionsPolynomialsAlgebraic Manipulation
2025/5/5
The problem is to simplify the following expression: $(\frac{a-3}{a} - \frac{a-3}{a^2-2a}) : \frac{a...
Algebraic ExpressionsSimplificationFractionsFactoring
2025/5/4
We are asked to solve the equation $\frac{15(5 - x) - 7(x + 9)}{1 - 5x} = 4$ for $x$.
Linear EquationsEquation SolvingAlgebraic ManipulationRational Equations
2025/5/4
The problem has two parts: (14) Find the square root of the irrational number $8 + 2\sqrt{15}$. (15)...
Complex NumbersSquare RootsSimplification
2025/5/4
The problem asks to simplify several expressions involving complex numbers. The expressions are: (a)...
Complex NumbersComplex Number ArithmeticSimplification
2025/5/4
Solve the following two equations for $x$. Equation 13: $2\frac{1}{3} - \frac{x-2}{4} = \frac{x-1}{6...
Linear EquationsFractionsSolving EquationsCross-multiplication
2025/5/4