^3sqrt4x ^3sqrt6y
Not sure of how to work this problem.
To simplify the expression ^3√(4x) * ^3√(6y), we can use the property of exponents which states that when two exponent expressions with the same base are multiplied, the exponents are added.
Step 1: Evaluate each cube root separately.
Using the cube root property, ^3√(4x) can be simplified as follows:
^3√(4x) = ^3√4 * ^3√x.
Step 2: Simplify the cube roots.
The cube root of 4 is 2, and the cube root of x remains unchanged as ^3√x.
Now, look at ^3√(6y).
^3√(6y) can be represented as ^3√6 * ^3√y.
Step 3: Multiply the simplified expressions.
Now that we have ^3√4 * ^3√x and ^3√6 * ^3√y, we can multiply them together:
(^3√4 * ^3√x) * (^3√6 * ^3√y).
Step 4: Combine the terms.
Multiply each term together:
(^3√4 * ^3√x) * (^3√6 * ^3√y) = ^3√(4 * x * 6 * y).
Step 5: Simplify the expression.
Evaluate the expression within the cube root:
^3√(4 * x * 6 * y) = ^3√(24xy).
Therefore, the simplified form of ^3√(4x) * ^3√(6y) is ^3√(24xy).