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 […]
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 […]
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.
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). […]
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 […]