SOLUTION: 3. z^-5/3 = 243 4. 2a^-1/4 = 12 please explain how you got the answer with work, thank you so much

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: 3. z^-5/3 = 243 4. 2a^-1/4 = 12 please explain how you got the answer with work, thank you so much      Log On


   

Question 124562This question is from textbook Amsco's Preparing for the regents examination mathematics B
: 3. z^-5/3 = 243
4. 2a^-1/4 = 12
please explain how you got the answer with work, thank you so much This question is from textbook Amsco's Preparing for the regents examination mathematics B

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
z^-5/3 = 243
243^3/5=27 calculator
z=1/27
.
Check:
(1/27)^-5/3
=27^5/3
.
2a^-1/4 = 12
a^-1/4=6
6^4=1296 inverse of ^1/4
a=1/1296
.
Check:
(1/1296)^-1/4
=1296^1/4
=6
.
Ed