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Popular >

simplify sqrt((4-x^3)^3)

Solution

simplify

(4 - x^{3})^{3}

Solution

(- x^{3} + 4)^{\frac{3}{2}}

Solution steps

(4 - x^{3})^{3}

Apply radical rule:

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

= ((4 - x^{3})^{3})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (4 - x^{3})^{3 \cdot \frac{1}{2}}

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

= (4 - x^{3})^{\frac{3}{2}}

= (- x^{3} + 4)^{\frac{3}{2}}

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Frequently Asked Questions (FAQ)

What is sqrt((4-x^3)^3) ?
The solution to sqrt((4-x^3)^3) is (-x^3+4)^{3/2}