Answer:
Correct answer is: x to the 16 over 21 power.
Step-by-step explanation:
Given is x to 1 third power times x to the 3 sevenths power.
i.e. x^(1/3) times x^(3/7)
We know the formula; a^m times a^n = a^(m+n)
So, x^(1/3) times x^(3/7) = x^(1/3 + 3/7)
Finding sum of powers; i.e. 1/3 + 3/7
Common denominator is 21. So it would be 7/21 + 9/21.
So, x^(1/3) times x^(3/7) = x^(7/21 + 9/21)
x^(1/3) times x^(3/7) = x^(16/21)
Hence, the correct answer is x to the 16 over 21 power.
