How can you express 5 x to the 4 ninths power in radical form?

To express 5x raised to the 4/9 power in radical form, we start by recalling the relationship between exponents and radicals. The expression can be rewritten using the following rule:

For any base a and fraction b/c, we have:

• a^b/c = c√a^b

In our case, 5x is the base and 4/9 is our exponent. Therefore, we can break it down as follows:

1. The denominator of the exponent (9) indicates that we will take the 9th root.

2. The numerator of the exponent (4) indicates that we will raise the base to the power of 4.

Combining these two elements, we can rewrite the expression:

5x^4/9 = √[9]{(5x)⁴}

This means that the expression 5x raised to the 4/9 power in radical form is:

In conclusion, the radical form of 5x to the 4/9 power is √[9]{(5x)⁴}.