Question
Explain what 243 (1)/(2) means. square root of 243 cubed fifth root of 243 cubed cube root of 243 cubed cube root of 243 to the fifth power
Solution
4.2
(262 Votes)
Felicity
Master ยท Tutor for 5 years
Answer
### fifth root of 243 cubed
Explanation
## Step 1: Understanding Fractional Exponents### A fractional exponent represents both a root and a power. The denominator of the fraction indicates the root, and the numerator indicates the power. In the expression
, the denominator is 5, representing the fifth root, and the numerator is 3, representing the third power (cubed).## Step 2: Applying the Definition to the Given Expression### The expression
can be interpreted as the fifth root of 243 raised to the third power. This is equivalent to taking the fifth root of 243 and then cubing the result, or cubing 243 and then taking the fifth root.