Select all expressions that are equivalent....

The expressions that are equivalent are (3²)⁴ and 3⁸.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is (3⁷)² . 3⁻⁶

Simplifying the expression, we get,

(3⁷)² . 3⁻⁶ = 3¹⁴ . 3⁻⁶

We have a rule for exponent xᵃ . xᵇ = xᵃ⁺ᵇ

               = 3¹⁴⁻⁶

               = 3⁸

Consider the expression in the options.

We have (xᵃ)ᵇ = xᵃᵇ

(3²)⁴ = 3⁽²⁾⁽⁴⁾ = 3⁸

And there is a third option 3⁸.

These two expressions are equivalent to the given expression.

Hence the expressions equivalent to the given expression is (3²)⁴ and 3⁸.

To learn more about Expressions, click on the link given below :

https://brainly.com/question/29583350

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