Not clear about this, please help me understand the steps:
(5b^2c^1/4)^3
Apply the laws of exponents:
Laws of exponents:
xa*xb = xa+b
xa/xb = xa-b
(xa)b = xab
x-a = 1/xa
(5b^2c^1/4)^3
=5³ (b^2)³ (c1/4)³
=125 * b2*3 c(1/4)*3
=125b6 c3/4
To simplify the expression (5b^2c^1/4)^3, we follow these steps:
Step 1: Apply the exponent to each term inside the parentheses.
(5^3)(b^2 * 3)(c^(1/4) * 3)
Step 2: Simplify the coefficients and constants.
125 * b^(2*3) * c^((1/4)*3)
Step 3: Perform the exponentiation for each variable.
125 * b^6 * c^(3/4)
So, the simplified form of (5b^2c^1/4)^3 is 125b^6c^(3/4).