🧮 algebra

1. **State the problem:** Simplify the expression $$\left(-3a^5 / b^4\right)^6$$. 2. **Recall the power of a quotient rule:** When raising a quotient to a power, apply the exponent

1. **State the problem:** We need to expand and simplify the expression $$y = (7x + 1)(x^3 - 2x - 9n)$$ where $x$ and $n$ are variables. 2. **Recall the distributive property:** To

1. The problem is to simplify the algebraic expression $x + 6 + 3(x + 4)$. 2. Use the distributive property: $a(b + c) = ab + ac$. Here, distribute $3$ over $(x + 4)$:

1. The problem is unclear as "how two b>?" does not specify a mathematical expression or question. 2. Please provide a clear algebraic or mathematical problem involving "b" so I ca

1. **Problem:** Seekor semut berjalan dengan kecepatan 50 cm/menit. Lima menit kemudian, kura-kura mulai berjalan dari titik yang sama dengan kecepatan 1,5 m/menit. Berapa lama wak

1. **State the problem:** Solve the quadratic equation $x^2 + 7x = 0$ and find its roots. 2. **Formula and rules:** To solve a quadratic equation of the form $ax^2 + bx + c = 0$, w

1. **Stating the problem:** We are given that $A \neq 0$ and the product $ABCD \times E = 2006$. We need to find the value of $B$. 2. **Understanding the problem:** Here, $ABCD$ re

1. **State the problem:** We want to find the largest possible sum of the addition problem BEST + OF + LUCK where each letter represents a different digit. 2. **Understand the prob

1. The problem is unclear as stated, but it seems to involve a concentration or percentage value of 1.4% and a quantity of 4750 units. 2. Assuming the question is to find the amoun

1. **State the problem:** We are given the cost function $$c(x) = x^3 - 6x^2 + 15x$$ where $x$ represents thousands of units produced. We want to find if there is a production leve

1. Diketahui matriks-matriks berikut: $$p = \begin{pmatrix} a+3 & 2b-6 \\ B - a & -38 + 9 \end{pmatrix}, \quad R = 3r = \begin{pmatrix} 2 & 0 \\ 9 & 32 \end{pmatrix}, \quad Q = \be

1. The problem is to verify if the answer is 49 for the given question (not explicitly stated). 2. Since the user states the answer might be 49, let's consider a common algebraic p

1. **Stating the problem:** Majed starts with 2 magic stones. Each time the stones are rubbed once, each stone produces one new stone, effectively doubling the total number of ston

1. **Problem:** Graph the linear equation $y=2x+2$. 2. **Formula:** The slope-intercept form of a line is $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.

1. The problem asks to express the repeating decimal $3.999\ldots$ as a fraction $\frac{p}{q}$ where $p$ and $q$ are integers and $q \neq 0$. 2. Let $x = 3.999\ldots$.

1. **State the problem:** We have cost function $C(X) = 12X + 300$ and revenue function $R(X) = 0.4X^2 + 48X + 200$, where $X$ is in thousands of tickets.

1. **Problem:** Prove by mathematical induction that $6^n - 1$ is divisible by 5 for $n \geq 0$. 2. **Base Case:** For $n=0$, calculate $6^0 - 1 = 1 - 1 = 0$, which is divisible by

1. The problem is to solve a math question suitable for a senior five student in Rwanda. Since the user did not specify a particular problem, I will demonstrate solving a common al

1. The problem is to express 0.0025 as a common fraction. 2. Recall that a decimal can be converted to a fraction by writing it over a power of 10. Since 0.0025 has four decimal pl

1. The problem is to express 0.25 as a common fraction. 2. Recall that a decimal can be converted to a fraction by writing it over a power of 10. Since 0.25 has two decimal places,

1. The problem is to express 0.003 as a common fraction. 2. Recall that a decimal can be written as a fraction with a denominator that is a power of 10. Here, 0.003 means 3 thousan