Solve for x in (3/10)^x: Complete the Exponential Expression

Question

Insert the corresponding expression:

$\left(\frac{3}{2\times5}\right)^x=$

00:00 Simplify the following problem

00:04 According to the laws of exponents, a fraction raised to the power (N)

00:08 equals the numerator and denominator raised to the same power (N)

00:13 We will apply this formula to our exercise

00:18 According to the laws of exponents when a 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)

00:28 We will apply this formula to our exercise

00:33 This is the solution

$\frac{3^x}{2^x\times5^x}$