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Maths Exercices
Exponents with fractional bases

If the base of an exponential expression is a fraction, the exponent tells us how many times to write that fraction as a factor.

  Since the exponent is 2, write the base, , as a factor 2 times.

Evaluate



Since the exponent is 3, write the base, , as a factor 3 times.

  Multiply the numerators
Multiply the denominators

   

We read as "one-fourth raised to the third power", or as "one fourth, cubed"


Evaluate



Since the exponent is 2, write the base, , as a factor 2 times.

  Multiply the numerators
Multiply the denominators

   

We read as "negative two-thirds raised to the second power", or as "negative two-thirds, squared"


Evaluate

Recall that if the - symbol is not within the parentheses, it is not part of the base.



Since the exponent is 2, write the base, , as a factor 2 times.

  Multiply the numerators
Multiply the denominators

   

We read as "the opposite of two-thirds squared"