Questions: 64^(1/3) use rational exponents to put this in different form

Solution Steps

To solve $64^{\frac{1}{3}}$ using rational exponents, we need to recognize that this expression represents the cube root of 64. We can rewrite the expression in a different form by finding the cube root of 64.

We start with the expression $64^{\frac{1}{3}}$. This can be interpreted as the cube root of 64, which can be expressed mathematically as: $$\sqrt[3]{64}$$

Next, we calculate the cube root of 64. Since $64 = 4^3$, we can simplify: $$\sqrt[3]{64} = \sqrt[3]{4^3} = 4$$

The result of the calculation shows that $64^{\frac{1}{3}} \approx 3.9999999999999996$. Rounding this to four significant digits gives us: $$4.000$$

Final Answer