Question

Write with radicals. Assume that all variables represent positive real numbers. (6x)^((4)/(7))+(4y)^((2)/(5))

Answer 1

To write the expression (6x)^(4/7) + (4y)^(2/5) with radicals, we can raise each base to the corresponding power.

Step-by-step explanation:

To write the expression (6x)^(4/7) + (4y)^(2/5) with radicals, we can raise each base to the corresponding power within the parentheses.

Using the formula (a^m)^n = a^(m*n), we have:

(6x)^(4/7) = 6^(4/7) * x^(4/7)

(4y)^(2/5) = 4^(2/5) * y^(2/5)

Combining the two expressions, the simplified expression is:

6^(4/7) * x^(4/7) + 4^(2/5) * y^(2/5)