Question

Pls what are indices and what is the first law of indices

Answer 1

LAWS OF INDICES

Now that you are quite familiar with indices, you are ready to move on the the laws of indices. These laws are very important when multiplying and diving powers as well as when using them in algebraic expressions. There are three laws of indices

LAW 1: The first law of indices tells us that when multiplying two identical numbers together that have different powers (eg: 2² x 2³), the answer will be the same number to the power of both exponents added together. In algebraic form, this rule look like this:

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The a represents the number and n and m represent the powers. Here is an example of this rule in action.Example:In the example, we have added 2 and 3 together to give us 5. So, the solution is 3 to the power of 5.

LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows

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The a represents the number that is divided by itself and m and n represent the powers. Here is an example for this rule.

Example:

$\frac{ {4}^{5} }{ {4}^{3} } = {4}^{2}$

As you can see, the powers have been subtracted

(5-3)=2

So the solution is 4 to the power of 2.

LAW 3:The third and last law tells us that when we have to multiply a power in a bracket, by another power outside the bracket, we have to multiply the two powers together to get the answer. In algebraic form, this rule looks like this

${(a^{m}) }^{n} = {a}^{mn}$

The a represents the number in the bracket while the m and n represent the two powers (one inside and one outside of the bracket). Here is an example in which this rule is applied.Example: In this example, the powers were multiplied together to give the answer which is 3 to the power of 6.

hope this helps you please mark it as brainliest

Answer 2

Answer:

LAW 1: The first law of indices tells us that when multiplying two identical numbers together that have different powers (eg: 2² x 2³), the answer will be the same number to the

Step-by-step explanation: