Question

What is the value of the following expression?

^28 v15 P ----> ^0 v1 B + ?
A. 2^15
B. 2^28
C. 2^(15 - 28)
D. 2^(28 - 15)

Answer 1

The value of the expression
`2^(28) minus 2^(15) is 2^((28 - 15))`, which simplifies to
`2^((13))`.

Step-by-step explanation:

The value of the expression
`2^(28) minus 2^(15)` is determined by applying the laws of exponents. To subtract these expressions with exponents, convert the subtraction into a division:

1. Express the subtraction of two exponentials with the same base as the base raised to the difference in their exponents:
   `2^(28) - 2^(15) = 2^((28)) / 2^((15)).`
2. Apply the rule for division of exponents with the same base: subtract the exponent of the divisor from that of the dividend to get the new exponent:
   `2^((28 - 15))`
3. Simplify the exponent:
   `2^((13))`.

Thus, the expression
`2^(28) minus 2^(15) is 2^((28 - 15))`, which is
`2^((13))`.