Wow. That's complicated.
I'll walk you through it though.
We're going to do this in three steps.
1. Simplify 7^1/3 * 7^5/3
When the base is the same, simply add/subtract the exponents.
7^1/3 * 7^5/3 = 7^6/3 = 7^2
Now we have the bottom simplified to 7^2, or 7^6/3
Now the overall equation is (7^2/3 / 7^6/3)^6
2.
When you're subtracting two numbers with exponents that have the same base, you simply subtract the exponents.
6 - 2 = 4
Now we're left with (7^4/3)^6
3.
When you have a base with an exponent, to the power of another exponent, you simply multiply the exponents.
4/3 * 6 = 24/3 = 8
The simplified form of the expression is 7^8. (This is your answer.)
Let me know if you have any other questions! :)
