## How to work out indices in maths

Simplifying expressions using the laws of indices Indices show where a number has been multiplied by itself, eg squared or cubed, or to show roots of numbers, eg square root. Indices - Introduction Indices, exponents or powers are numbers that tell us how often a number is to be multiplied by itself in a mathematical expression. A power is usually represented by a raised smaller number on the right side of the number that it belongs to (eg: 3²). The example on the right shows the function of a power more clearly. Indices are used to show numbers that have been multiplied by themselves. They can be used instead of the roots such as the square root. The rules make complex calculations that involve powers easier. Law of Indices. To manipulate expressions, we can consider using the Law of Indices. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated using the Law of Indices, but we cannot use the Law of Indices to manipulate the expressions 3 5 and 5 7 as their base differs (their bases are 3 and 5, respectively).

## 31 Dec 2014 We can see that b2 x b5 = b7 simply by writing out the expressions in full (ie remember how fractional powers work -"Fractional indices are like a The first is Indices Dominoes by Teachit Maths - a really nice activity, with

When the indices of pronumerals are negative, we get a negative indices. An expression with a negative index is the reciprocal of the expression with positive Activities and questions that students can work on to discover the square numbers for themselves. Square & Cube Numbers Puzzle Free resource Worksheet | Positive & Negative Indices Odd One Out* Some activities include algebra. View our Documentation Center document now and explore other helpful examples for using IDL, ENVI and other products. Mathematics (Linear) - 1MAO. FRACTIONAL AND. NEGATIVE INDICES Work out. (i). 252. Evaluate. ANS. Write down the value of. 3-2. CA. - eves. (Total 2 31 Dec 2014 We can see that b2 x b5 = b7 simply by writing out the expressions in full (ie remember how fractional powers work -"Fractional indices are like a The first is Indices Dominoes by Teachit Maths - a really nice activity, with

### In mathematics, it's important not to take things for granted. It's a good exercise to try and figure out why the other two laws also make sense. Example: Work out the

This section covers Indices and the uses of Indices in algebra. After studying this section, you will be able to: divide and multiply algebraic expressions using indices; find roots using indices. This video shows a guide to indices and powers. Multiplying and dividing indices, raising indices to a power and using standard form are explained. More Lessons for GCSE Maths Math Worksheets Examples, solutions and videos to help GCSE Maths students learn about the multiplication and division rules of indices. Maths : Indices : Multiplication Rule In this tutorial you are shown the multiplication rule for indices. You are given a short test at the end. x m × x n = x m+n

### Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know about Indices to pass your

Interpret, order and calculate with numbers written in standard index form. Listed below are a series of summaries and worked examples to help you solidify your A guide to understanding Indices, bases and index, and learning how to manipulate Go to the next page for the first of many questions and fully worked out or a0 ? To proceed further we need rules to operate with so we can find out what these notations actually mean. www.

## Law of Indices. To manipulate expressions, we can consider using the Law of Indices. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated using the Law of Indices, but we cannot use the Law of Indices to manipulate the expressions 3 5 and 5 7 as their base differs (their bases are 3 and 5, respectively).

Index form. The notation and is known as index form. The small digit is called the index number or power. You have already seen that and that . Similarly, (five to the power of ) and (three to the power of ) . The index number tells you how many times the number should be multiplied. When the index number is two, the number has been squared. In this tutorial you are shown the division rule for indices where the power remains positive. x m ÷ x n = x m-n Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations . Indices. This section covers Indices revision. An index number is a number which is raised to a power. The power, also known as the index, tells you how many times you have to multiply the number by itself. For example, 2 5 means that you have to multiply 2 by itself five times = 2×2×2×2×2 = 32. There are a number of important rules of index numbers: Simplifying expressions using the laws of indices Indices show where a number has been multiplied by itself, eg squared or cubed, or to show roots of numbers, eg square root. Indices - Introduction Indices, exponents or powers are numbers that tell us how often a number is to be multiplied by itself in a mathematical expression. A power is usually represented by a raised smaller number on the right side of the number that it belongs to (eg: 3²). The example on the right shows the function of a power more clearly. Indices are used to show numbers that have been multiplied by themselves. They can be used instead of the roots such as the square root. The rules make complex calculations that involve powers easier. Law of Indices. To manipulate expressions, we can consider using the Law of Indices. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated using the Law of Indices, but we cannot use the Law of Indices to manipulate the expressions 3 5 and 5 7 as their base differs (their bases are 3 and 5, respectively).

Indices and the uses of indices for GCSE algebra maths revision. This section includes: definitions, explanations, examples and videos. Interpret, order and calculate with numbers written in standard index form. Listed below are a series of summaries and worked examples to help you solidify your A guide to understanding Indices, bases and index, and learning how to manipulate Go to the next page for the first of many questions and fully worked out or a0 ? To proceed further we need rules to operate with so we can find out what these notations actually mean. www.