How do you write #root3(10)^7# in rational exponent notation?

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Answer 1 · 2017-04-09T05:50:49

#10^(7/3)#

#root3 (10)# is #10^(1/3)# as the power on #root 3 (10)# is 1.

Hence, #root 3 (10)^7# would be #10^(7/3)#.

Answer 2 · 2017-04-09T05:57:29

#root(3)10^7=10^(7/3)#

Given: #root(3)10^7#

Can also be stated as the cube root of 10 to the power of seven.

#root(3)10^7 = (10^7)^(1/3) = 10^(7/3)#