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Popular >

simplify (sqrt(x^2+1))^{3/2}

Solution

simplify

(x^{2} + 1)^{\frac{3}{2}}

Solution

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

Solution steps

(x^{2} + 1)^{\frac{3}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

\frac{1}{2} \cdot \frac{3}{2} = \frac{3}{4}

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

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Frequently Asked Questions (FAQ)

What is (sqrt(x^2+1))^{3/2} ?
The solution to (sqrt(x^2+1))^{3/2} is (x^2+1)^{3/4}