Question

What is the quotient of 2^4/2^-4?

A. 1/256
B. 1/2
C. 1
D. 256

Answer 1

D. 256

Explanation:

`\frac{ {2}^(4) }{ {2}^( - 4) } \\ = {2}^(4) * {2}^(4) \\ = {2}^(4 + 4) \\ = {2}^(8) \\ \\ \huge\boxed{\red{\therefore \: \frac{ {2}^(4) }{ {2}^( - 4) }}= \purple{ 256}}`

Answer 2

Answer is option d 256

Explanation:

`\frac{ {2}^(4) }{ {2}^( - 4) } = {2}^(4) * {2}^(4) \\ = {2}^(4 + 4) \\ = {2}^(8) \\ = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 \\ = 256`

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