i need help solving this problem. what is the power of x. (squareroot of x over the fifth root of x) all to the power of 1/3
Square root of x ---> x1/2
Fifth root of x ---> x1/5
( x1/2 / x1/5 )1/3
Since inside the parentheses is a division problem, subtract the exponents:
1/2 - 1/5 = 3/10:
= ( x3/10 )1/3
Since this is an exponent to an exponent, multiply the exponents:
= x3/10 x 1/3 = x1/10 or the tenth root of x
Square root of x ---> x1/2
Fifth root of x ---> x1/5
( x1/2 / x1/5 )1/3
Since inside the parentheses is a division problem, subtract the exponents:
1/2 - 1/5 = 3/10:
= ( x3/10 )1/3
Since this is an exponent to an exponent, multiply the exponents:
= x3/10 x 1/3 = x1/10 or the tenth root of x