Mathematics: What is the product? 5k/6 . 3/2k^3

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What is the product? 5k/6 . 3/2k^3 - id563231558134, goeringwilliam6974

nina1390

15.03.2022

The required product is $\dfrac{5}{4k^2}.$

Step-by-step explanation: We are to calculate the following product:

$P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.$

We will be using the following property of exponents:

$\dfrac{a^x}{a^y}=a^{x-y}.$

We have

$P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.$

Thus, the required product is $\dfrac{5}{4k^2}.$

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