Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify your reasoning.

Question

Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify your reasoning.

1. 
2. 
3. 
4. 

Answer 1

⁴√(x³) = x^3/4

1 / (x^-1) = 1 / (1/x) = x

¹⁰√(x⁵x⁴x²) = ¹⁰√x¹¹ = x^11/10

x^1/3x^1/3x^1/3 = x^{1/3 + 1/3 + 1/3} = x