%5E3-as-a-fraction-in-simplest-form.jpeg "(3/5)^3 As A Fraction In Simplest Form")
Simplifying (3/5)³ as a Fraction
To simplify (3/5)³ as a fraction in its simplest form, we need to understand what the exponent means and how to apply it to fractions.
Understanding Exponents
An exponent indicates how many times a base number is multiplied by itself. In this case, (3/5)³ means (3/5) multiplied by itself three times:
(3/5)³ = (3/5) * (3/5) * (3/5)
Multiplying Fractions
To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers):
(3/5) * (3/5) * (3/5) = (333) / (555)
Simplifying the Result
Simplifying the multiplication, we get:
(333) / (555) = 27/125
Therefore, (3/5)³ as a fraction in its simplest form is 27/125.