Question

What is the following product 3/x^2 4/x^3??

Answer 1

9514 1404 393

Answer:

  12/x^5

Step-by-step explanation:

The fractions are multiplied in the usual way. The applicable rule of exponents is ...

  (x^a)(x^b) = x^(a+b)

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  $\dfrac{3}{x^2}\cdot\dfrac{4}{x^3}=\dfrac{3\cdot4}{x^2\cdot x^3}=\dfrac{12}{x^{2+3}}=\boxed{\dfrac{12}{x^5}}$