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Popular >

simplify (sec^2(x))^{3/2}

Solution

simplify

(sec^{2} (x))^{\frac{3}{2}}

Solution

sec^{3} (x)

Solution steps

(sec^{2} (x))^{\frac{3}{2}}

Apply exponent rule:

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

assuming

a \geq 0

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

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

= sec^{3} (x)

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Frequently Asked Questions (FAQ)

What is (sec^2(x))^{3/2} ?
The solution to (sec^2(x))^{3/2} is sec^3(x)