What is the correct simplification of 243 exponent 3/5

Question

27
9
3
81

Answer 1

To simplify \( 243^{3/5} \), we can follow these steps:

1. Write 243 as a power of a base: \[ 243 = 3^5 \]

2. Substitute this into the expression: \[ 243^{3/5} = (3^5)^{3/5} \]

3. Use the power of a power property (multiply the exponents): \[ (3^5)^{3/5} = 3^{(5 \cdot \frac{3}{5})} = 3^3 \]

4. Calculate \( 3^3 \): \[ 3^3 = 27 \]

Therefore, the correct simplification of \( 243^{3/5} \) is \( 27 \).