Simplify expression. Assume all variables represent
nonzero real numbers.
( (3y^2)/2)^3
I started to reduce but it did not look right.
27y^6/8
think of it this way ...
(3y^2)/2)(3y^2)/2)(3y^2)/2)
= ...
4 5
To simplify the expression ( (3y^2)/2)^3, you need to raise the numerator, 3y^2, to the power of 3.
To simplify an expression with exponents raised to another exponent, you need to multiply the exponents. In this case, you need to multiply 3y^2 by 3:
(3y^2)^3 = 3^3 * (y^2)^3
Now simplify each part of the expression:
3^3 = 27
(y^2)^3 = y^(2*3) = y^6
Therefore, the simplified expression is:
( (3y^2)/2)^3 = 27y^6/8