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Popular >

simplify sqrt((1-5/2 x)^3)

Solution

simplify

(1 - \frac{5}{2} x)^{3}

Solution

(\frac{- 5 x + 2}{2})^{\frac{3}{2}}

Solution steps

(1 - \frac{5}{2} x)^{3}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((1 - \frac{5}{2} x)^{3})^{\frac{1}{2}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= (1 - \frac{5}{2} x)^{3 \cdot \frac{1}{2}}

3 \cdot \frac{1}{2} = \frac{3}{2}

= (1 - \frac{5}{2} x)^{\frac{3}{2}}

Multiply

\frac{5}{2} x : \frac{5 x}{2}

= (1 - \frac{5 x}{2})^{\frac{3}{2}}

Join

1 - \frac{5 x}{2} : \frac{2 - 5 x}{2}

= (\frac{2 - 5 x}{2})^{\frac{3}{2}}

= (\frac{- 5 x + 2}{2})^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt((1-5/2 x)^3) ?
The solution to sqrt((1-5/2 x)^3) is ((-5x+2)/2)^{3/2}