SOLUTION: Write the expression without using negative exponents. Assume that all variables represent positive numbers (16/2,401y^4)^-3/4 options are 343y^3/8 8/343y^3 8/343y^2 343

Question 442624: Write the expression without using negative exponents. Assume that all variables represent positive numbers
(16/2,401y^4)^-3/4
options are
343y^3/8
8/343y^3
8/343y^2
343y^5/8
Can someone please show me how to work this problem?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write the expression without using negative exponents. Assume that all variables represent positive numbers

(16/2,401y^4)^-3/4
----
The negative on the exponent means "invert".
The 4 on the exponent means "take the 4th root".
The 3 on the exponent mena "cube".
---------------------------------------
Inverting you get:
(2401y^4/16)^(3/4)
---
Taking the 4th root you get:
(7y/2)^3
----
Cubing you get:
(343y^3/8)
=================
Cheers,
Stan H.
=================
options are
343y^3/8
8/343y^3
8/343y^2
343y^5/8

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