What is factor 3(3/20)^{1/3}-5(3/20)^{4/3} ?

The solution to factor 3(3/20)^{1/3}-5(3/20)^{4/3} is (9*3^{1/3})/(4*20^{1/3)}

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factor 3(3/20)^{1/3}-5(3/20)^{4/3}

factor

3 (\frac{3}{20})^{\frac{1}{3}} - 5 (\frac{3}{20})^{\frac{4}{3}}

\frac{9 \cdot 3 ^{\frac{1}{3}}}{4 \cdot 2 0 ^{\frac{1}{3}}}

Decimal Notation

1.19549 \dots

Solution steps

3 (\frac{3}{20})^{\frac{1}{3}} - 5 (\frac{3}{20})^{\frac{4}{3}}

Apply exponent rule:

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

(\frac{3}{20})^{\frac{4}{3}} = (\frac{3}{20})^{1 + \frac{1}{3}} = (\frac{3}{20})^{1} (\frac{3}{20})^{\frac{1}{3}}

= 3 (\frac{3}{20})^{\frac{1}{3}} - 5 (\frac{3}{20})^{1} (\frac{3}{20})^{\frac{1}{3}}

Factor out common term

(\frac{3}{20})^{\frac{1}{3}}

= (\frac{3}{20})^{\frac{1}{3}} (3 - 5 \cdot \frac{3}{20})

Refine

= (\frac{3}{20})^{\frac{1}{3}} (- \frac{3}{4} + 3)

Join

3 - \frac{3}{4} : \frac{9}{4}

= \frac{9}{4} (\frac{3}{20})^{\frac{1}{3}}

Multiply fractions:

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

= \frac{9 ( \frac{3}{20} ) ^{\frac{1}{3}}}{4}

(\frac{3}{20})^{\frac{1}{3}} = \frac{3 ^{\frac{1}{3}}}{2 0 ^{\frac{1}{3}}}

= \frac{9 \cdot \frac{3 ^{\frac{1}{3}}}{2 0 ^{\frac{1}{3}}}}{4}

Multiply

9 \cdot \frac{3 ^{\frac{1}{3}}}{2 0 ^{\frac{1}{3}}} : \frac{9 \cdot 3 ^{\frac{1}{3}}}{2 0 ^{\frac{1}{3}}}

= \frac{\frac{9 \cdot 3 ^{\frac{1}{3}}}{2 0 ^{\frac{1}{3}}}}{4}

Apply the fraction rule:

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

= \frac{3 ^{\frac{1}{3}} \cdot 9}{2 0 ^{\frac{1}{3}} \cdot 4}

(2 c d^{4})^{2} (c d)^{5}

\frac{3 x - 4}{x + 4} < 7

1 - 16 y^{2}

8 x^{2} - 16 x + 8 = 0

x^{2} - 12 x + 52 = 0

What is factor 3(3/20)^{1/3}-5(3/20)^{4/3} ?
The solution to factor 3(3/20)^{1/3}-5(3/20)^{4/3} is (9*3^{1/3})/(4*20^{1/3)}