🧮 algebra

1. **State the problem:** Simplify the expression $$\frac{x^m}{x^n}$$ and express it as a power of $x$. 2. **Recall the exponent rule:** When dividing powers with the same base, su

1. **Problem Statement:** Find the percentage of total number of males in U.P., Manipur, and Goa together to the total population of all the given states. 2. **Given Data:**

1. Diberikan fungsi linear $f(x)$ yang melalui titik $A(2,5)$ dan $B(x,11)$. 2. Nilai $x$ memenuhi persamaan $3x - 5 = 10$.

1. The problem is to find $\log 25$. 2. Recall the logarithm property: $\log a^b = b \log a$.

1. **State the problem:** We are given data relating orbital speed $x$ (km/s) and distance from the sun $y$ (millions of km). We need to find a power regression equation of the for

1. সমস্যা: একটি বীজগণিতের সমীকরণ সমাধান করতে হবে। 2. সূত্র: সাধারণত, বীজগণিতের সমীকরণ সমাধানে আমরা ব্যবহার করি সমীকরণের মূল নিয়ম, যেমন যোগ, বিয়োগ, গুণ, ভাগ এবং সমীকরণের দুই পাশে

1. **Stating the problem:** Simplify the expression $$(3 - 7)(3^2 - 7^2)$$. 2. **Recall the formulas and rules:**

1. **Stating the problem:** Solve the equation $\frac{x}{2} = 16$ for $x$. 2. **Formula and rules:** To isolate $x$, multiply both sides of the equation by 2 to cancel the denomina

1. **Problem Statement:** We have a square cardboard of side length 40 inches. Four squares of side length $x$ and two rectangular regions are cut out and discarded. The remaining

1. **Problem:** Find a set of three rational numbers between 1 and 2. 2. **Understanding Rational Numbers:** Rational numbers are numbers that can be expressed as a fraction \(\fra

1. Let's start by understanding what a function is. A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output

1. **State the problem:** Simplify the expression $$4^3 \div 2^2$$. 2. **Recall the rules:**

1. The problem asks to express $\frac{7^{10}}{7}$ as a single power. 2. Recall the rule for dividing powers with the same base: $$\frac{a^m}{a^n} = a^{m-n}$$ where $a$ is the base

1. El problema consiste en resolver una ecuación cuadrática cualquiera para encontrar sus raíces. 2. La fórmula general para resolver ecuaciones cuadráticas es $$x = \frac{-b \pm \

1. **State the problem:** Factor the quadratic expression $60v^2 + 54v + 162$. 2. **Identify the greatest common factor (GCF):** The coefficients 60, 54, and 162 share a GCF of 6.

1. **State the problem:** Solve the inequality $1 + 2(x - 3) > 0$. 2. **Apply the distributive property:**

1. The problem asks to find the area of the shaded region in the given rectangle. 2. The rectangle is divided into two vertical parts, each with width $x+1$, so the total width is

1. The problem is to simplify the expression \(\sqrt{\sqrt{x}}\). 2. Recall the rule for radicals: \(\sqrt{a} = a^{\frac{1}{2}}\).

1. **State the problem:** Solve the expression $3 - 2(x-1)^2 + \frac{1}{2}(x+1)$ and simplify it. 2. **Recall the formulas and rules:**

1. **State the problem:** Solve the equation or expression given by the user. Since no specific equation was provided, let's consider a simple example: solve for $x$ in $2x + 3 = 7

1. Énonçons le problème : on cherche à simplifier ou analyser l'expression $h=\frac{f-g}{g+1}$.\n\n2. La formule utilisée est la définition de $h$ en fonction de $f$ et $g$. Il s'a