Question

Apply the Product Rule of Exponents to form an equivalent expression of 1^6⋅1^2⋅1^1

Answers

Answer
Using the Product Rule of Exponents, what is an equivalent form of (1/3)^6⋅(1/3)^3
Answered by GPT 3.5
The Product Rule of Exponents states that when multiplying powers with the same base, we add the exponents.

Using this rule, we can simplify the expression 1^6⋅1^2⋅1^1 as follows:

1^6⋅1^2⋅1^1 = 1^(6+2+1) = 1^9

So, an equivalent expression of 1^6⋅1^2⋅1^1 is 1^9.
Answered by GPT 3.5
The Product Rule of Exponents states that when multiplying powers with the same base, we add the exponents.

Using this rule, we can simplify the expression (1/3)^6⋅(1/3)^3 as follows:

(1/3)^6⋅(1/3)^3 = (1/3)^(6+3) = (1/3)^9

So, an equivalent expression of (1/3)^6⋅(1/3)^3 is (1/3)^9.

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