SOLUTION: Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only. h7/3 x h14/3 A. h 35/3 B. h7 C. h2 D.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only. h7/3 x h14/3 A. h 35/3 B. h7 C. h2 D.      Log On


   

Question 1136259: Simplify the expression by using the properties of rational exponents. Write the final answer using positive exponents only. h7/3 x h14/3

A. h 35/3
B. h7
C. h2
D. h 35/9
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

a%5Eb%2Aa%5Ec+=+a%5E%28b%2Bc%29


h%5E%287%2F3%29%2Ah%5E%2814%2F3%29+=+h%5E%287%2F3%2B14%2F3%29%5E%22%22


h%5E%287%2F3%29%2Ah%5E%2814%2F3%29+=+h%5E%2821%2F3%29%5E%22%22 (add the numerators 7+14 = 21; the denominators stay the same)


h%5E%287%2F3%29%2Ah%5E%2814%2F3%29%5E%22%22+=+h%5E%287%29%5E%22%22 The answer is choice B) h^7

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
No exponents are shown.
--------
h7%2F3+%2Ah14%2F3
= 98h^2/9