Question

Which expressions are equivalent to 6 Superscript 16? Check all that apply. (6 Superscript 0 Baseline) Superscript 16 (6 Superscript 8 Baseline) Superscript 8 (6 Superscript negative 4 Baseline) Superscript negative 4 (6 Superscript negative 2 Baseline) Superscript negative 8 (6 Superscript negative 1 Baseline) Superscript 16 (6 Superscript 8 Baseline) squared

Answer 1

C, because -4 x -4 is 16; not negative 16, but positive 16

D, because -2 x -8 is 16; not negative 16, but positive 16

F, because 8 x 2 is 16

Answer 2

An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are 3, 4, and 6.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 6 Superscript 16 can rewrite as,

• (6 Superscript negative 4 Baseline) Superscript negative 4

         $(6^{-4})^{-4} = 6^{(-4 \times -4)} = 6^{16}$

• (6 Superscript negative 2 Baseline) Superscript negative 8

         $(6^{-2})^{-8} = 6^{(-2 \times -8)} = 6^{16}$

• (6 Superscript 8 Baseline) squared

         $(6^{8})^{2} = 6^{(8 \times 2)} = 6^{16}$

Hence, the given expression that can represent 6¹⁶ is (6⁻⁴)⁻⁴, (6⁻²)⁻⁸, and (6⁸)².

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