Simplify (ax3/2x)³: Cube Power of an Algebraic Fraction

Question

Insert the corresponding expression:

$\left(\frac{a\times3}{2\times x}\right)^3=$

00:00 Simply

00:04 According to exponent laws, any fraction to the power (N)

00:09 equals the numerator and denominator to the same power (N)

00:15 We will use this formula in our exercise

00:28 According to exponent laws, when a product is raised to a power (N)

00:31 equals each factor in the product separately raised to the same power (N)

00:38 We will use this formula in our exercise

00:51 Let's calculate 3 to the power of 3 and substitute

01:02 Let's calculate 2 to the power of 3 and substitute

01:13 And this is the solution to the question

$\frac{a^3\times27}{8\times x^3}$