Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to factor the two given expressions: $5x^2 + 10x - 15$ and $3x^4 - 6x^3 + 9x^2$.
FactorizationQuadratic EquationsPolynomialsGreatest Common Factor
2025/4/15
The problem describes a geometric sequence where the second term is equal to the fourth term. We are...
Sequences and SeriesGeometric SequenceCommon RatioAlgebraic Equations
2025/4/15
The problem is to simplify the expression $(\frac{x^{1/7}}{y^{4/8}})(\frac{x^{4/7}}{y^{3/3}})$. The ...
ExponentsSimplificationAlgebraic Expressions
2025/4/15
The problem asks to rewrite the expression $9a^{-4/9}$ using positive exponents.
ExponentsSimplificationAlgebraic Manipulation
2025/4/15
Simplify the expression $\frac{a^{\frac{11}{15}}}{a^{\frac{1}{5}}}$ and express the answer with posi...
ExponentsSimplificationQuotient Rule of ExponentsFractional Exponents
2025/4/15
The problem is to simplify the expression $\frac{a^{\frac{11}{15}}}{a^{\frac{1}{5}}}$ and express th...
ExponentsSimplificationAlgebraic Expressions
2025/4/15
We are asked to simplify the expression $\frac{a^{\frac{7}{12}}}{a^{\frac{1}{3}}}$. We need to expre...
ExponentsSimplificationFractions
2025/4/15
We are asked to simplify the expression $\frac{a^{\frac{7}{12}}}{a^{\frac{1}{3}}}$ and express the a...
ExponentsSimplificationFractional Exponents
2025/4/15
Simplify the expression $c^{\frac{1}{3}} \cdot c^{\frac{7}{3}}$ and write the answer with positive e...
ExponentsSimplification
2025/4/15
The problem asks us to simplify the expression $\frac{x^{\frac{4}{5}}}{x^{\frac{3}{5}}}$ and express...
ExponentsSimplificationAlgebraic Expressions
2025/4/15