What is ((7x^4)/2)/((2x^2)/3) ?

The solution to ((7x^4)/2)/((2x^2)/3) is (21x^2)/4

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simplify ((7x^4)/2)/((2x^2)/3)

simplify

\frac{\frac{7 x ^{4}}{2}}{\frac{2 x ^{2}}{3}}

\frac{21 x ^{2}}{4}

Solution steps

\frac{\frac{7 x ^{4}}{2}}{\frac{2 x ^{2}}{3}}

Apply the fraction rule:

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

= \frac{7 x ^{4} \cdot 3}{2 \cdot 2 x ^{2}}

Cancel

\frac{7 x ^{4} \cdot 3}{2 \cdot 2 x ^{2}} : \frac{21 x ^{2}}{4}

= \frac{21 x ^{2}}{4}

\frac{17}{4 - i}

6 x^{2} - 4

(3 x + 1)^{10}

i^{63}

\frac{4 + - 20}{2}

What is ((7x^4)/2)/((2x^2)/3) ?
The solution to ((7x^4)/2)/((2x^2)/3) is (21x^2)/4