Respuesta :

limsophie

Answer:

1/4 to the power of 2 = 1/16

The fraction is 1/16

What is exponents and powers?

The exponent of a number shows how many times the number is multiplied by itself.

  • Law of Product: a^m × a^n = a^(m+n)
  • Law of Quotient: a^m/a6n = a^(m-n)
  • Law of Zero Exponent: a^0 = 1
  • Law of Negative Exponent: a^(-m) = 1/a^m
  • Law of Power of a Power: (a^m)^n = a^(mn)
  • Law of Power of a Product: (ab)^m = a^mb^m
  • Law of Power of a Quotient: (a/b)^m = a^m/b^m

Given:

1/4 to power 2

=(1/4)²

Using laws of exponents

(a/b)^m = a^m/ b^m

So,

(1/4)² = 1²/4²

=1/4*4

=1/16

Hence, the fraction form is 1/16.

Learn more about exponents and powers here:

https://brainly.com/question/15722035

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