Simplify Term 1

-243^1/5

Simplify the rational exponent:

-2431/5

Analyze Fractional Exponent:

ab/c = (ca)b

Take the cth root of a
Then raise that to the power of b

In this case, a = -243, b = 1, and c = 5

Evaluate the 5th root of -243:

5-243 = -3 since -35 = -243  
as seen in our Exponent Lesson

Raise this value to the power of 1:

Therefore, we can write -2431/5 = -3

Final Answer


-2431/5 = -3