This equation is incorrect because when we multiply an exponent into a bracket we multiply it with the exponents of the terms inside the bracket.
The correct equation should be:
(xy)^3 = x^3y^3
Do you have a question?
perform the indicated operation ND REDUCE THE RESULT TO LOWEST TERMS. STATES ANY RESTRICTIONS ON THE VARIABLE. USE YOUR CALCULATER TO VERIFY YOUR ANSWER.
A. 3(x-6)/18*4(x+6)/8(x-6)
To understand why the equation (xy)^3 = x^3y^3 is correct, it is important to understand the rules of exponentiation and how they apply when multiplying terms inside brackets.
In this case, we have the expression (xy)^3. To simplify this expression, we need to raise the entire term (xy) to the power of 3. According to the exponentiation rule, raising a term to a power means multiplying the term by itself that many times.
Breaking it down step by step, we have:
(xy)^3 = (xy)(xy)(xy)
Expanding the brackets by multiplying, we then get:
(xy)(xy)(xy) = x*x*y*y*x*x*y*y*x*x*y*y
Now, combining like terms (terms that have the same base), we can group them together:
x*x*x * y*y*y = x^3 * y^3
So, we can conclude that (xy)^3 is indeed equal to x^3y^3.
To avoid confusion and ensure the proper understanding and application of exponentiation rules, it's essential to clearly differentiate between cases where the exponent is applied to the entire term in brackets (as shown in this example) and cases where the exponent applies only to the base inside the brackets.