What is (5k)/6*3/(2k^3) ?

The solution to (5k)/6*3/(2k^3) is 5/(4k^2)

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simplify (5k)/6*3/(2k^3)

simplify

\frac{5 k}{6} \cdot \frac{3}{2 k ^{3}}

\frac{5}{4 k ^{2}}

Solution steps

\frac{5 k}{6} \cdot \frac{3}{2 k ^{3}}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{5 k \cdot 3}{6 \cdot 2 k ^{3}}

Factor the number:

6 = 3 \cdot 2

= \frac{5 k \cdot 3}{3 \cdot 2 \cdot 2 k ^{3}}

Cancel the common factor:

3

= \frac{5 k}{2 \cdot 2 k ^{3}}

Simplify

\frac{k}{k ^{3}} : \frac{1}{k ^{2}}

= \frac{5}{2 \cdot 2 k ^{2}}

Multiply the numbers:

2 \cdot 2 = 4

= \frac{5}{4 k ^{2}}

- 3 (x - 14) = 42

2 x \cdot 5 = \frac{x}{5} \cdot 5 - 13 \cdot 5

3 g - 5 = 2 g - 8

2 4^{2} + 4 5^{2} = x^{2}

- \frac{4}{7} - 1