Question

The values of(8^-25 -8^-26) is
A.7*8-25
B.7*8-26
C.8*8-26
D.None of the above

Answer 1

Step-by-step explanation:

$( {8}^{ - 25} - {8}^{ - 26} ) \\ = {8}^{ - 25} (1 - {8}^{ - 1} ) \\ = {8}^{ - 25} (1 - \frac{1}{8} ) \\= {8}^{ - 25} ( \frac{8 - 1}{8} ) \\= {8}^{ - 25} ( \frac{7}{8} ) \\ = \frac{ {8}^{ - 25} }{8} \times 7 \\ = {8}^{ - 26} \times 7 \\ = 7 \times {8}^{ - 26} \\ thus \: option \: B \: is \: correct.$

Answer 2

Step-by-step explanation:

b is the correct option

1/8^25 - 1/8^26

=8-1/8^26

=7/8^26

=7*8^-26