1. Operacions amb nombres

Parèntesis, signes, prioritat operacions

Exemples

7 minus left parenthesis 3 minus 2 right parenthesis equals 7 minus 3 plus 2 equals 9 minus 3 equals 6
2 times 5 plus 3 equals 10 plus 3 equals 13
2 times left parenthesis 5 plus 3 right parenthesis equals 2 times 8 equals 16
3 times 5 squared equals 3 times 25 equals 75
left parenthesis 3 times 5 right parenthesis squared equals 15 squared equals 225 space space space space space space space o space space space space space space left parenthesis 3 times 5 right parenthesis squared equals 3 squared times 5 squared equals 225
left parenthesis negative 2 right parenthesis cubed equals negative 8 space space space space space space space minus 2 cubed equals negative 8
left parenthesis negative 3 right parenthesis squared equals 9 space space space space space space space space space space space minus 3 squared equals negative 9 space space space

Potències                 Exemples

a to the power of 0 equals 1 space space space space space space space space space space space space space space space space space space space space space space space space 5 to the power of 0 equals 1
a to the power of s times a to the power of t equals a to the power of s plus t end exponent space space space space space space space space space space space space 3 squared times 3 to the power of 5 equals 3 to the power of 7 space space space space space space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 10 cubed times 10 to the power of negative 5 end exponent equals 10 to the power of negative 2 end exponent
space space space space space space space space space space space space
a to the power of s over a to the power of t equals a to the power of s minus t end exponent space space space space space space space space space space space space space space space 7 squared over 7 to the power of 5 equals 7 to the power of 2 minus 5 end exponent equals 7 to the power of negative 3 end exponent equals 1 over 7 cubed space space space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 10 cubed over 10 to the power of 7 equals 10 to the power of negative 4 end exponent space

open parentheses a to the power of s close parentheses to the power of n equals a to the power of s times n end exponent space space space space space space space space space space space space space space space left parenthesis 2 cubed right parenthesis to the power of 5 equals 2 to the power of 15 space space space space space space space space space space space space space space space space space space space space space space space space space space space
a to the power of negative n end exponent equals 1 over a to the power of n space space space space space space space space space space space space space space space space space 3 to the power of negative 5 end exponent equals 1 over 3 to the power of 5 space space space space space
a to the power of 1 divided by n end exponent equals n-th root of a space space space space space space space space space space space space space space space space 5 to the power of 1 divided by 3 end exponent equals cube root of 5 space space space space space space
a to the power of s divided by n end exponent equals n-th root of a to the power of s end root space space space space space space space space space space space space space space space 5 to the power of 2 divided by 3 end exponent equals cube root of 5 squared end root space space space space

Fraccions

2 times 5 over 7 equals 10 over 7
2 plus 3 over 5 equals fraction numerator 2 times 5 plus 3 over denominator 5 end fraction equals 13 over 5
7 over 4 minus 2 over 3 equals fraction numerator 7 times 3 minus 2 times 4 over denominator 12 end fraction equals 13 over 12

5 over 9 times 6 over 10 equals 30 over 90 equals 1 third

2 over 3 colon 5 over 7 equals fraction numerator 2 times 7 over denominator 3 times 5 end fraction equals 14 over 15