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Popular >

simplify sqrt((sin^2(θ))^3)

Solution

simplify

(sin^{2} (θ))^{3}

Solution

sin^{3} (θ)

Solution steps

(sin^{2} (θ))^{3}

Apply radical rule:

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

= ((sin^{2} (θ))^{3})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (sin^{2} (θ))^{3 \cdot \frac{1}{2}}

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

= (sin^{2} (θ))^{\frac{3}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= sin^{2 \cdot \frac{3}{2}} (θ)

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

= sin^{3} (θ)

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Frequently Asked Questions (FAQ)

What is sqrt((sin^2(θ))^3) ?
The solution to sqrt((sin^2(θ))^3) is sin^3(θ)