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Unit 2, Law 7, Indices - Coggle Diagram
Unit 2
Introduction
An index is a small number that tells us how many times a term has been multiplied by itself.
The plural of index is indices.
Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base. This means that the larger number or letter must be the same.
Quadratic Equations
Quadratic equations are second-degree algebraic expressions and are of the form ax2 + bx + c = 0.
ax2 + bx + c = 0
There are many scenarios where a quadratic equation is used
Further, a quadratic equation has numerous applications in physics, engineering, astronomy.
The standard form of a quadratic equation is ax2 + bx + c = 0, where a, b are the coefficients, x is the variable, and c is the constant term.
Application in real life
Exponents, Index Numbers, Powers, and Indices are used in lots of parts of our modern technological world.
Exponents are used in Computer Game Physics, pH and Richter Measuring Scales, Science, Engineering, Economics, Accounting, Finance, and many other disciplines.
Examples
Many physical and mathematical problems are in the form of quadratic equations. In mathematics, the solution of the quadratic equation is of particular importance. As already discussed, a quadratic equation has no real solutions. . It helps develop a different field of mathematics known as the Complex Analysis.
Examples
Rifles
Astronomy
Physics
Engineering
The laws
There are several laws of indices , including multiplying, dividing, power of 0, brackets, negative and fractional powers.
For examples and practice questions on each of the rules of indices, as well as how to evaluate calculations with indices with different bases, follow the links below.
Multiplying indices
When multiplying indices with the same base, add the powers.
Dividing indices
When dividing indices with the same base, subtract the powers.
Brackets with indices
When there is a power outside the bracket multiply the powers.
Power of 0
Anything raised to the power of 0 is equal to 1.
Negative indices
When the index is negative, put it over 1 and flip (write its reciprocal) to make it positive.
Law 6
Law 7
Indices
