Respuesta :

Answer:

C

Step-by-step explanation:

We can expand, getting 3^(-8)(-2) multiplied by 7^(3)(-2).

The exponents on the 3 is 16 and -6 on the 7.

This is the same as c.

The equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be simplified as below:-

(3⁻⁸ • 7³)⁻²  =  ( 3⁻⁸ˣ⁻²• 7³ ˣ ⁻² )

                 =  ( 3¹⁶• 7⁻⁶)

Therefore, the equivalent expression of (3⁻⁸ • 7³)⁻² will be 3¹⁶• 7⁻⁶. The correct option is C.

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