Question

Hello guys !!
Please Help Me Out ⬇️⬇️

I wanted to know all the Laws Of Exponents With Explanation

Please no irreverent answers , no spam ,❎❎​

Answer 1

Step-by-step explanation:

Exponents are also called Powers or Indices

8 to the Power 2

The exponent of a number says how many times to use the number in a multiplication.

In this example: 82 = 8 × 8 = 64

In words: 82 could be called "8 to the second power", "8 to the power 2" or simply "8 squared"

Try it yourself:

34⬇️

34 = 3 × 3 × 3 × 3 = 81© 2015 MathsIsFun.com v0.82

So an Exponent saves us writing out lots of multiplies!

Example: a7

a7 = a × a × a × a × a × a × a = aaaaaaa

Notice how we wrote the letters together to mean multiply? We will do that a lot here.⬇️⬇️

Example: x6 = xxxxxx

The Key to the Laws

Writing all the letters down is the key to understanding the Laws

Example: x2x3 = (xx)(xxx) = xxxxx = x5

Which shows that x2x3 = x5, but more on that later!

So, when in doubt, just remember to write down all the letters (as many as the exponent tells you to) and see if you can make sense of it.

All you need to know ...

The "Laws of Exponents" (also called "Rules of Exponents") come from three ideas:

pencil paper The exponent says how many times to use the number in a multiplication.

turn over A negative exponent means divide, because the opposite of multiplying is dividing

pie slice

A fractional exponent like 1/n means to take the nth root: x^(1/n) = n-th root of x

If you understand those, then you understand exponents!

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