Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to evaluate the expression $(2^0) \cdot (\frac{2^{3 \cdot 3^3}}{2^3})$.
ExponentsSimplificationOrder of Operations
2025/4/16
The problem asks to evaluate the expression $(\frac{1}{2})^{3^2} \cdot (\frac{1}{2})^3$.
ExponentsSimplificationOrder of OperationsPowers of Two
2025/4/16
We are asked to find the value of $n$ in the equation $(9^n)^4 = 9^{12}$.
ExponentsEquationsSolving Equations
2025/4/16
We are asked to find the least common denominator (LCD) of the following rational expressions: $\fra...
Rational ExpressionsLeast Common DenominatorPolynomial FactorizationAlgebraic Manipulation
2025/4/16
The problem asks to find the value(s) of $x$ for which the expression $\frac{x-4}{5x-40} \div \frac{...
Rational ExpressionsUndefined ExpressionsDomain
2025/4/16
Simplify the expression: $\frac{(2x^3y^1z^{-2})^{-2}x^4y^8z^{-2}}{5x^5y^4z^2}$
ExponentsSimplificationAlgebraic Expressions
2025/4/16
The problem asks us to solve the linear equation $15 + x = 3x - 17$ for the variable $x$.
Linear EquationsSolving Equations
2025/4/16
The problem asks to graph the equation $y = x^2 - 4$.
ParabolaGraphingQuadratic EquationsVertexIntercepts
2025/4/15
The problem asks us to find the values of the variables $m$ and $y$ in the given expressions that wo...
Undefined ExpressionsRational ExpressionsSolving Equations
2025/4/15
We are given the equation $\frac{m^2}{4} = 9$ and need to solve for $m$.
EquationsSolving EquationsSquare Roots
2025/4/15