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nikitadnepr [17]
3 years ago
8

Answer the following please give steps of how you got your answer

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0

Answer: x^4

Step-by-step explanation:

1. Rewrite the expression in fraction form:

(3√x²)^6 = x^(2/3)^6

2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

x^(2/3)^6 = x^(12/3) = x^4

Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

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