simplify
the cube root of -54x^6y^4
Crt(-54) = -3Crt(2)....(Crt means cube) root
Crt(x^6) = x^2
Crt(y^4) = yCrt(y)
Now can you put it all together?
Sure, I can give it a shot! Let's simplify the expression:
Crt(-54x^6y^4)
We can break it down into smaller parts:
Crt(-54) = -3Crt(2)
Crt(x^6) = x^2
Crt(y^4) = yCrt(y)
Now, let's put it all together:
Crt(-54x^6y^4) = -3Crt(2)x^2yCrt(y)
So, the simplified expression is -3Crt(2)x^2yCrt(y).
To simplify the cube root of -54x^6y^4, we can break it down as follows:
Cube root of -54 can be written as -3 * cube root of 2.
Cube root of x^6 can be written as x^2.
Cube root of y^4 can be written as y * cube root of y.
Putting it all together, we have:
-3 * cube root of 2 * x^2 * y * cube root of y.
Sure! Let's simplify the expression step by step:
First, we can start by simplifying the cube root of -54. The cube root of -54 is equal to the cube root of -3 times the cube root of 2. This can be written as -3∛2.
Next, we can simplify the cube root of x^6. The cube root of x^6 is equal to x raised to the power of 6 divided by 3. So, we have x^2.
Lastly, we can simplify the cube root of y^4. The cube root of y^4 is equal to y multiplied by the cube root of y. So, we have y * ∛y.
Putting it all together, the simplified expression becomes -3∛2 * x^2 * y * ∛y.