Rules of indecies

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Rule 1

Am×An=A3m+n

x² X x3 =x5

x5Xx5=x10

x2 X x3 X x4=x9

1 of 7

Rule 2

Am÷An=Am-n

x5 over x3 =x2

t5 over t-3=t8

p6.6 over p4.8=p1.8

2 of 7

Rule 3

(Am)n=Amn

(a2)2=a4

(g5)5=g25

(z8)9=z81

3 of 7

Rule 4

A0=1

10=1

550=1

790=1

4 of 7

Rule 5

A-m=1 over Am or Am=1 over A-m

g-m= 1 over gm

1 over x-3=x3

8 over 2x-1=4x

5 of 7

Rule 6

A m over n= n√Am

x to the power of a third= cube root of x

2x to the power of two thirds = 2x cube root of x sqaured

5t to the power of minus four fifths= five over 5 root t to the power of 4

6 of 7

Rule 7

a¹=a

10¹=10

59¹=59

1590¹=1590

7 of 7

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