Question

39) 64 is the multiplicative inverse of
a)2-⁸ b)8² c)1/8² d)2⁴

Answer 1

Answer:

64 is the multiplicative inverse of $\frac{1}{8^2}$

Option c) is the correct answer.

Step-by-step explanation:

The product of any number and it's multiplicative inverse is One.

Therefore, Multiplicative inverse is the reciprocal of the number.  Hence, the number is the reciprocal of it's multiplicative inverse.

Therefore, 64 is the multiplicative inverse of $\frac{1}{64}$ $=\frac{1}{(8).(8)}=\frac{1}{8^2}$

Option c) is the correct answer.