Answer :
Final Answer:
The variables are
A) m = 1/93
B) c = -2
Explanation:
To determine the value of the variable m in expression A, we can set up the equation [tex]\( \frac{1}{m} = 93 \)[/tex]. Multiplying both sides by m to isolate m gives us 1 = 93m , and dividing both sides by 93 yields [tex]\( m = \frac{1}{93} \)[/tex].
For expression B, we have [tex]\( \frac{(11)^c}{(11)^2} \)[/tex]. Since the bases are the same, we can equate the exponents: c = 2 for the expression to hold true. However, it's essential to notice that the exponent c represents the power to which 11 must be raised to obtain the numerator. Therefore, c = -2 because [tex]\( (11)^{-2} = \frac{1}{(11)^2} \).[/tex]
Understanding exponent rules and their applications in algebraic expressions can provide valuable insights into solving equations involving variables.
