What is the value of (9^7)^3/14, in simplest terms?

asked Apr 5, 2018 23.6k views

5 votes

8.0k points

Please log in or register to add a comment.

6 votes

$(9^7)^{ (3)/(14) }=9^{7* (3)/(14) }=9^{ (3)/(2) }= (3^2)^{ (3)/(2) }=3^{2* (3)/(2) }=3^3=27$

Begui answered Apr 5, 2018

by Begui

8.5k points

1 vote

multiplying the exponents we get

9 ^(7*3/14)

= 9^(21/14)

= 9^(3/2)

this equals the cube of the square root of 9

= 3^3 = 27

HieroB answered Apr 9, 2018

7.5k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers