Question

Simplify the expression 3√(4⁢𝑥−7)24 with positive rational exponents.

Answer 1

Interpret ∛(4x − 7)^{24} as ((4x − 7)^{24})^{1/3}. Using exponent rules,

((4x − 7)^{24})^{1/3} = (4x − 7)^{24·(1/3)} = (4x − 7)^8.

So the simplified form with positive rational exponents is (4x − 7)^8.