Solve (ab/2x)³: Cubing a Complex Algebraic Fraction

Question

Insert the corresponding expression:

$\left(\frac{a\times b}{2\times x}\right)^3=$

00:00 Simplify the following problem

00:03 According to the exponent laws, a fraction raised to the power (N)

00:07 equals the numerator and denominator raised to the same power (N)

00:12 We will apply this formula to our exercise

00:20 According to the exponent laws, when the entire product is raised to the power (N)

00:24 it is equal to each factor in the product separately raised to the same power (N)

00:32 We will apply this formula to our exercise

00:43 Let's calculate 2 to the power of 3 and substitute it back into the expression

00:57 This is the solution

$\frac{a^3\times b^3}{8\times x^3}$