The Laws Of Exponents

The laws of exponents are explained here along with their examples. If ‘x’ is a non-zero integer or a non-zero rational number. Laws Rule Example Product Rule Keep base, + exponents (xa) (xb) = x(a+b) Quotient rule Keep base, – exponents (xa) ÷ (xb) = x(a-b) Power of a power Keep base, x exponents (xa)b […]

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Logarithms

Let a and N be positive real numbers and let N = an. Then n is called the logarithm of N to the base a. We write this as n = loga N. Find the value of log3 27 is Rewrite as an equation: log3 27 = x Rewrite log3 27 = x in exponential form using the definition […]

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Ratio and Proportion

The concept of ratio and proportion is one of the most essential concepts in maths. A ratio is a relationship between two numbers that defines the quantity of the first in comparison to the second. Ratios can be written in the fractional form. For example: 3:7 or 3/7. When quantities are proportional, their ratios are equal. 

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Geometry – 2D Shapes Formulas

A 2D shape is a shape that is bounded by three or more straight lines or a closed circular line in a plane. These shapes have no depth or height; they have two dimensions- length and breadth and are therefore called 2D figures or shapes. For 2D shapes, we measure area (A) and perimeter (P). […]

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Concept of LCM and HCF

LCM stands for Lowest Common Multiple, and HCF stands for Highest Common Factor. The key to telling the difference between these two things is knowing the difference between a multiple and a factor. A multiple of an integer (whole number) is any integer that appears in its times table. For example, the multiples of 3 are 3, 6, 9, 12, and so on. A factor of an […]

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