What is (sin(x))^3*(cos(x))^3 ?

The solution to (sin(x))^3*(cos(x))^3 is sin^3(x)cos^3(x)

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simplify (sin(x))^3*(cos(x))^3

simplify

(sin (x))^{3} \cdot (cos (x))^{3}

sin^{3} (x) cos^{3} (x)

Solution steps

(sin (x))^{3} (cos (x))^{3}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

(sin (x))^{3} (cos (x))^{3} = (sin (x) cos (x))^{3}

= (sin (x) cos (x))^{3}

Apply exponent rule:

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

= sin^{3} (x) cos^{3} (x)

e^{- 7.2}

u \cdot - u + 4

6.67 \cdot 1 0^{- 11} (\frac{( 90 ) ( 90 )}{( 40 ) ^{2}})

What is (sin(x))^3*(cos(x))^3 ?
The solution to (sin(x))^3*(cos(x))^3 is sin^3(x)cos^3(x)