🧮 algebra

1. We are asked to explain step 15 better. Since the original problem or context is not provided, let's assume step 15 involves simplifying or solving an algebraic expression. 2. G

1. **State the problem:** Simplify the expression $$\left( \frac{x^{5}y^{-3}}{2xy^{5}} \right)^{-4} \div \frac{4x^{6}y^{-10}}{\left( 3x^{-2}y^{2} \right)^{-3}}.$$\n\n2. **Simplify

1. **State the problem:** Simplify the expression $$\left(\frac{x^{5} y^{-3}}{2x y^{5}}\right)^{-4} \div \frac{4x^{6} y^{-10}}{\left(3x^{-2} y^{2}\right)^{-3}}.$$\n\n2. **Rewrite t

1. **State the problem:** Simplify the expression $$\left(\frac{x^{5} y^{-3}}{2x y^{5}}\right)^{-4} \div \frac{4x^{6} y^{-10}}{\left(3x^{-2} y^{2}\right)^{-3}}.$$\n\n2. **Rewrite t

1. **Aufgabe 6: Terme vereinfachen** **a)** $(a + 9)^2$

1. Problem: Vereinfache den Term a) (a + 9)^2 mithilfe der binomischen Formel. 2. Formel: Die erste binomische Formel lautet $$ (x + y)^2 = x^2 + 2xy + y^2 $$.

1. Aufgabe: Vereinfache die Terme mithilfe der binomischen Formeln und dem Ausmultiplizieren von Summen. 2. Wichtige Formeln und Regeln:

1. The problem is to solve for $z$ in the equation $z \div 7 = 8$. 2. The division equation can be rewritten as a multiplication equation using the property that dividing by a numb

1. Stating the problem: Solve for $m$ in the equation $m \div 9 = 6$. 2. Use the division equation rule: To isolate $m$, multiply both sides of the equation by 9.

1. **State the problem:** Simplify the expression $$\frac{\sqrt{75a^5}}{\sqrt{3a}}$$. 2. **Use the property of radicals:** $$\frac{\sqrt{x}}{\sqrt{y}} = \sqrt{\frac{x}{y}}$$.

1. Das Problem lautet: Vereinfachen Sie den Ausdruck $$c^{\frac{1}{2}} \div c^3$$. 2. Die Regel für Division von Potenzen mit gleicher Basis lautet: $$a^m \div a^n = a^{m-n}$$.

1. Stating the problem: Convert 4,800 into scientific notation in the form $a \times 10^b$ where $1 \leq a < 10$ and $b$ is an integer. 2. Scientific notation rule: Move the decima

1. **State the problem:** We need to find how much larger Wisconsin is compared to South Carolina by subtracting the area of South Carolina from Wisconsin's area. 2. **Write down t

1. **State the problem:** Solve the equation $y^2 + y^3 = 12$ for $y$. 2. **Rewrite the equation:** The equation can be written as

1. **State the problem:** Solve the equation $y^2 + y^3 = 14$ for $y$. 2. **Rewrite the equation:** The equation can be written as

1. **Problem statement:** A computer has a regular price of 910 and is on sale for 20% off. We need to find: a) The price after the discount (excluding tax).

1. Let's start by understanding what a sigh diagram is. It seems you might mean a "sign diagram," which is used to determine where a function is positive, negative, or zero. 2. The

1. **State the problem:** Simplify the expression $$\left(\sqrt[5]{x^{4} y^{7}}\right)^{10}$$ and express it in the form $$x^{a} y^{b}$$ where $a$ and $b$ are exponents to find. 2.

1. **State the problem:** Simplify the expression $$(3a^3b)^2(4ab^2)^3$$. 2. **Recall the rules:**

1. **State the problem:** We want to find a quadratic function of the form $$y = ax^2 + bx + c$$ that best fits the points $(-1,8)$, $(5,-4)$, and $(7,8)$ using quadratic regressio

1. **State the problem:** Expand the function $$f(x) = (7x - 2)^3$$ into the form $$ax^3 + bx^2 + cx + d$$ where $a,b,c,d$ are constants. 2. **Formula used:** Use the binomial expa