最新の問題
2次関数 $y = x^2 - (a+4)x + a - 4$ のグラフが、$x$軸から切り取る線分の長さを$l$とする。 (1) $l$を$a$を用いて表す。 (2) $l$は$a=2$のとき、最小...
二次関数グラフ解と係数の関係平方完成最小値
2025/3/8
The problem is to evaluate $27^{-1/3}$.
ExponentsRadicalsSimplification
2025/3/8
We are asked to evaluate the expression $\frac{1}{8^3} \times \frac{1}{25^2}$.
ExponentsFractionsMultiplication
2025/3/8
We are asked to simplify the expression $\frac{a^{\frac{1}{2}} \times a^{\frac{1}{4}}}{a}$.
ExponentsSimplificationFractionsAlgebraic Expressions
2025/3/8
Simplify the expression $\sqrt[3]{a^2} \times \sqrt{a^{-3}}$.
ExponentsRadicalsSimplificationFractional Exponents
2025/3/8
The problem is to evaluate the expression $(\frac{1}{32})^{\frac{-4}{3}}$.
ExponentsRadicalsSimplification
2025/3/8
The problem is to simplify the expression $1 \div 2 \cdot \sqrt{x^{-3}}$.
SimplificationRadicalsExponentsRationalization
2025/3/8
The problem is to determine the domain of the function $f(x) = \frac{1}{2\sqrt{x-3}}$.
DomainFunctionsSquare RootInequalities
2025/3/8
The problem is to simplify the expression $\frac{1}{2\sqrt{x^{-8}}}$.
SimplificationExponentsRadicals
2025/3/8
Simplify the expression $\frac{2^3 \times 2^{-3}}{2^2}$.
ExponentsSimplificationFractions
2025/3/8