What is sqrt((16sin^2(x))^3) ?

The solution to sqrt((16sin^2(x))^3) is 64sin^3(x)

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simplify sqrt((16sin^2(x))^3)

simplify

(16 sin^{2} (x))^{3}

64 sin^{3} (x)

Solution steps

(16 sin^{2} (x))^{3}

Apply radical rule:

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

= ((16 sin^{2} (x))^{3})^{\frac{1}{2}}

Apply exponent rule:

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

assuming

a \geq 0

= (16 sin^{2} (x))^{3 \cdot \frac{1}{2}}

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

= (16 sin^{2} (x))^{\frac{3}{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 1 6^{\frac{3}{2}} (sin^{2} (x))^{\frac{3}{2}}

1 6^{\frac{3}{2}} = 64

= 64 (sin^{2} (x))^{\frac{3}{2}}

(sin^{2} (x))^{\frac{3}{2}} : sin^{3} (x)

= 64 sin^{3} (x)

(1.38 \cdot 1 0^{- 23}) (298)

2080 (1 + 0.09 \cdot \frac{79}{365})^{- 1}

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

60 \cdot 2^{- 0.02 \cdot 405}

630000 \cdot 43.75 \cdot 1 0^{- 10}

What is sqrt((16sin^2(x))^3) ?
The solution to sqrt((16sin^2(x))^3) is 64sin^3(x)