# Laws Of Indices

Mind Map by , created almost 6 years ago

## This mind map gives a brief explanation of the 6 laws of indices.

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 Created by rory.examtime almost 6 years ago
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Laws Of Indices
1 Law 1
1.1 (a^m)(a^n) = a^(m+n)
1.2 To multiply expressions with the same base, copy the base and add the indices.
2 Law 2
2.1 (a^m)/(a^n) = a^(m-n)
2.2 To divide expressions with the same base, copy the base and subtract the indices.
3 Law 3
3.1 (a^m)^n = a^(mn)
3.2 To raise an expression to the nth index, copy the base and multiply the indices.
4 Law 4
4.1 a^0 = 1
4.2 Any expression to the power of 0 is equal to 1
5 Law 5
5.1 (a/b)^n = (a^n)/(b^n)
5.2 The exponent of a quotient is equal to the quotient of the exponents
6 Law 6
6.1 (ab)^n = (a^n)(b^n)
6.2 The exponent of a product is equal to the product of the exponents