Maths

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Fractional Exponents (Practice Questions)

Last Updated: 21 September 2026

Fractional exponents are exponents written as fractions. They represent both powers and roots.Solved ExamplesExample: Solve 161/4Solution:We know that 16 can be expressed ...read more

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Rational Exponents (Practice Questions)

Last Updated: 21 September 2026

Rational exponents are exponents written as fractions, where the numerator represents the power and the denominator represents the root.Solved ExamplesExample 1: Simplify ...read more

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Exponential Function (Practice Questions)

Last Updated: 21 September 2026

An exponential function is a mathematical function in which the variable is present in the exponent. It is generally written as f(x) = ax where a 0 and a ≠ 1.Solved Examp...read more

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Negative Exponents (Practice Problems)

Last Updated: 21 September 2026

Negative exponents are exponents with negative values. They indicate that the base is written as its reciprocal with a positive exponent.Solved ExamplesExample 1: Find the...read more

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Factorial (Practice Problems)

Last Updated: 19 September 2026

Factorial is the product of all positive integers less than or equal to a given number. It is represented by the symbol (!).Solved QuestionsQuestion 1. Evaluate the follow...read more

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Laws of Exponents (Practice Problems)

Last Updated: 19 September 2026

Laws of exponents are mathematical rules used to simplify expressions involving powers and exponents.Solved ExamplesExample 1: What is the simplification of 73 × 71?Soluti...read more

Last Updated: 18 September 2026

In math, precalculus is the course that includes algebra, trigonometry, functions, and geometry. It prepares students for the calculus; thus, the name is pre-calculus.It p...read more

Last Updated: 26 September 2026

An area chart is a type of chart used to represent data points over a continuous scale, usually time. It is similar to a line chart, but the area between the line and the ...read more

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Line Graphs (Practice Questions)

Last Updated: 16 September 2026

A line graph is nothing but a way to represent two or more variables in the form of line or curves to visualize the concept and helps to understand it in a better form.Sol...read more

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Determinant of 3×3 Matrix (Practice Questions)

Last Updated: 26 September 2026

The determinant of a 3×3 matrix is a single number calculated from its elements.Solved ExamplesExample 1: Find the determinant of matrix A \begin{vmatrix}2 3 1 \\0 4 5...read more

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Practice Questions on Singular Matrix

Last Updated: 15 September 2026

A singular matrix is a square matrix (i.e., a matrix where the number of rows is equal to the number of columns) whose determinant is zero. Solved Questions Question 1: Fi...read more

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Cofactors (Practice Questions)

Last Updated: 14 September 2026

A cofactor of an element in a matrix is obtained by multiplying its minor by a sign determined by the element's position in the matrix.Solved ExamplesExample 1. Find the c...read more

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Determinant of 4x4 Matrix (Practice Questions)

Last Updated: 12 September 2026

A 4 × 4 matrix determinant is a single number calculated from a square matrix containing 4 rows and 4 columns.Solved ExamplesExample 1: Calculate the determinant of the ma...read more

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Natural log (Practice Problems)

Last Updated: 25 September 2026

The natural log is the log of a number with base "e," where 'e' is Euler's number and its value is 2.718 (approximately). The natural log is defined by the symbol 'ln.' Th...read more

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Adjoint of a Matrix (Practice Problems)

Last Updated: 17 September 2026

The adjoint (or adjugate) of a matrix is the transpose matrix of the cofactor of the given matrix. For any square matrix A, to calculate its adjoint matrix, we have to fir...read more

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