Question

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

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

Answer 1

The quotient of
`2^4/2^-4` is found by subtracting the exponents due to division, which leads to
`2^4`×
`2^4`, equalling 256. Hence, the correct answer is D. 256.

Step-by-step explanation:

The quotient of
`2^4/2^-4` is computed by subtracting the exponents of the base 2 because of the division operation. This process is similar to other mathematical operations involving exponents where subtraction is used in division. In this case, we have
`2^4` which is 16 and
`2^-4` which is 1/16. When you divide these, you multiply 16 by the reciprocal of 1/16, effectively getting 16 × 16, which equals 256.

Therefore, the correct answer is
`2^4/2^-4` = 256.

When dividing numbers with the same base, the process involves subtracting the exponent of the divisor from the exponent of the dividend. In this particular case, the result is a power of 2 with an exponent of 16, which corresponds to 256.

Answer 2

D) 256

Step-by-step explanation: