Not clear about this, please help me understand the steps:

Question

Not clear about this, please help me understand the steps:

(5b^2c^1/4)^3

Answer 1

Apply the laws of exponents:

Laws of exponents:
x^a*x^b = x^a+b
x^a/x^b = x^a-b
(x^a)^b = x^ab
x^-a = 1/x^a

(5b^2c^1/4)^3
=5³ (b^2)³ (c^1/4)³
=125 * b^2*3 c^(1/4)*3
=125b⁶ c^3/4

Answer 2

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).