Question

What is the simplified form of the seventh root of x times the seventh root of x times the seventh root of x times the seventh root of x

Answer 1

I took the test it’s x^4/7

Answer 2

x^(1/7)x^(1/7)x^(1/7)x^(1/7)

Well the rule for multiplying similar bases with exponents is:

(a^b)(a^c)(a^d)=a^(b+c+d), so in this case:

x^(1/7+1/7+1/7+1/7)

x^(4/7)

In words that is x raised to the 4/7 th power or the seventh root of x raised to the 4th power.