🧮 algebra

1. The problem is to simplify $$\frac{16^{-3}}{8^4}$$ and express the answer in exponential form with base 2. 2. Recall that 16 and 8 can be written as powers of 2: $$16 = 2^4$$ an

1. The problem is to express $y$ in terms of $x$ from the linear equation $ax + by = k$. 2. The formula used is to isolate $y$ on one side of the equation. We start with:

1. **State the problem:** Evaluate the expression $x + 5$ when $x = 12$. 2. **Write the expression:** The expression is $x + 5$.

1. **State the problem:** Evaluate the expression $$-8 - 9[-2(4^2 + 8\cdot 2)] + 2[(3+4) - 6^2]$$. 2. **Recall order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplica

1. The problem is to understand the letter "B" as a mathematical or algebraic expression or variable. 2. Since "B" is a single letter, it is typically used to represent a variable

1. The problem is to simplify the expression $A + A$. 2. According to the algebraic rule of combining like terms, when you add a term to itself, you multiply it by 2.

1. **Problem:** Let $f(x) = \left(\frac{1}{3}\right)^x$ and $g(x) = \left(\frac{3}{4}\right)^x$. Determine which of the statements A, B, C, or D is true. 2. **Recall:** For exponen

1. **Problem statement:** Determine which statement is true about the functions $f(x) = \left(\frac{1}{3}\right)^x$ and $g(x) = \left(\frac{3}{4}\right)^x$. 2. **Recall:** For expo

1. The problem is to evaluate $i^0$ where $i$ is the imaginary unit. 2. Recall the rule for any nonzero number $a$: $a^0 = 1$.

1. **Problem statement:** Alain and Beatrice share 750 in the ratio 8:7. Show Alain receives 400. 2. **Step 1: Understand ratio division**

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