What is the quotient of 2^4/2^-4? A. 1/256 B. 1/2 C. 1 D. 256

Question

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

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

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Madelyn 3 weeks 2021-12-29T05:18:43+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-12-29T05:19:52+00:00

    Answer:

    D. 256

    Step-by-step explanation:

     \frac{ {2}^{4} }{ {2}^{ - 4} }  \\  = {2}^{4}  \times   {2}^{4}  \\  =  {2}^{4 + 4}  \\  =  {2}^{8}  \\  \\     \huge\boxed{\red{\therefore \:  \frac{ {2}^{4} }{ {2}^{ - 4} }}=  \purple{ 256}}

    0
    2021-12-29T05:20:36+00:00

    Answer:

    Answer is option d 256

    Step-by-step explanation:

     \frac{ {2}^{4} }{ {2}^{ - 4} }  =  {2}^{4}  \times  {2}^{4}  \\  =  {2}^{4 + 4}  \\  =  {2}^{8}  \\  = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\  = 256

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