Use the appropriate laws of indices to simplify these expressions.Show the working
a) (x^4/y^2)^3
a) (x^4/y^2)^3 = x^(4*3)/y^(2*3)
= x^12/y^6
To simplify the expression (x^4/y^2)^3 using the laws of indices, we need to apply the power to each term inside the brackets.
Step 1: Apply the power to x^4 and y^2. Multiply the exponents by 3:
(x^4)^3 / (y^2)^3
Step 2: Simplify the exponents:
x^(4*3) / y^(2*3)
Step 3: Perform the multiplication within the exponents:
x^12 / y^6
Therefore, the expression (x^4/y^2)^3 simplifies to x^12 / y^6.