I'm stuck on the following 3 questions and could use some help.

Question

For number 3 and 4, simplify each expression, then, write the expression in radical form. Show all work.

Answer 1

add the exponents

5x^1/3 times 10x^3 = 50x^10/3 that's 50 times the 3rd root of x^10

or 50x^3(cube root of x)

next problem, I have trouble reading, but assume the exponents are both 1/3

then the product is (2x^1/3)(3x^1/3)= 6x^2/3 = 6 times the cube root of x^2.

(cube root of 8 is 2, cube root of 27 is 3.)

the pendulum arc lengths are a geometric sequence with common ratio =.82

a1r^(n-1) = 60(.82)^(n-1) for the nth term

for the 5th swing length = 60(.82)^(5-1) = 60(.82)^4 =60(.452) = about 27 cm