To simplify the expression cube root of x squared multiplied by the third root of x squared, we can use the properties of exponents and radicals.
Start with the expression:
√(x²) * ∛(x²)We can express these roots in terms of exponents:
√(x²) = x²^(1/3) = x^(2/3)And for the third root:
∛(x²) = x²^(1/3) = x^(2/3)Now, we can rewrite the entire expression:
x^(2/3) * x^(2/3)By the property of exponents that states a^m * a^n = a^(m+n), we can combine the exponents:
x^(2/3 + 2/3) = x^(4/3)Thus, the simplified form of the cube root of x squared multiplied by the third root of x squared is:
x^(4/3)In conclusion, the final answer is:
x^(4/3)