How do you write $(root5x^7)^3$ as an exponential form?

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Answer 1 · 2016-04-04T16:51:17

I found $x^(21/5)$

You can use the properties:
1) $x^(m/n)=rootn(x^m)$
and:
2) $(x^m)^n=x^(m*n)$
to get:
$(root5(x^7)^3)=(x^(7/5))^3=x^(7/5*3)=x^(21/5)$

How do you write (root5x^7)^3(root5x^7)^3 as an exponential form?