Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to evaluate the following expressions: (a) $a^0 \times b^0$ (b) $x^0 + 2p^0 - a^0$ ...
ExponentsOrder of OperationsSimplification
2025/4/17
We are given that $x - \frac{1}{x} = m$. a) We need to find the value of $x^2 + \frac{1}{x^2}$. b) W...
Algebraic ManipulationEquationsExponentsVariables
2025/4/17
The problem requires us to simplify four algebraic expressions. (a) $\frac{a^4 \times a^3}{a^2}$ (b)...
ExponentsSimplificationAlgebraic Expressions
2025/4/17
The problem requires us to graph the exponential function $f(x) = 4 \cdot 2^x$.
Exponential FunctionsGraphingFunction EvaluationExponents
2025/4/17
Simplify the expression $(y^{\frac{3}{4}})^{\frac{1}{2}}$.
ExponentsSimplificationPower of a Power Rule
2025/4/17
The problem asks us to simplify the following expressions: (b) $(x^5)^3$ (c) $(a^2b^3)^4$ (d) $a^2(a...
ExponentsSimplificationPolynomialsDistributive PropertyPower of a PowerProduct of Powers
2025/4/17
The problem asks to simplify the given expression: $(\frac{2r^{-3}t^6}{5u^9})^4$
ExponentsSimplificationAlgebraic Expressions
2025/4/17
The problem asks us to determine if the two given expressions, $(5p^3q)(4p^5q^9)$ and $20p^8q^{10}$,...
PolynomialsExponentsSimplificationEquivalence
2025/4/17
The problem is to simplify the expression $(p^5r^2)^4(-7p^3r)(6pr^3)$.
ExponentsSimplificationPolynomials
2025/4/17
Simplify the expression $(14fg^2h^2)(3f^4g^2h^2)$.
PolynomialsSimplificationExponents
2025/4/17