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Popular >

simplify (5/3 n)(4/7 n^2)

Solution

simplify

(\frac{5}{3} n) (\frac{4}{7} n^{2})

Solution

\frac{20 n ^{3}}{21}

Solution steps

(\frac{5}{3} n) (\frac{4}{7} n^{2})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

n n^{2} = n^{1 + 2}

= \frac{5}{3} \cdot \frac{4}{7} n^{1 + 2}

Add the numbers:

1 + 2 = 3

= \frac{5}{3} \cdot \frac{4}{7} n^{3}

Multiply fractions:

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

= \frac{5 \cdot 4 n ^{3}}{3 \cdot 7}

Refine

= \frac{20 n ^{3}}{21}

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Frequently Asked Questions (FAQ)

What is (5/3 n)(4/7 n^2) ?
The solution to (5/3 n)(4/7 n^2) is (20n^3)/(21)