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

Answer 1

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.

Answer 2

Using the Product Rule of Exponents, what is an equivalent form of (1/3)^6⋅(1/3)^3

Answer 3

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.