Answer:
1/ 5²
Step-by-step explanation:
= 5³ × 1/5⁵
= 125 × 1/5⁵
= 125/3125
= 1/25 or 1 / 5²
Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have
cos x sin^(1/2) x * cos^2 x
= cos^3 x sqrt sin x
