16 cupcakes is the answer
Answer:
4th option
Step-by-step explanation:
There is a negative exponent so you have to move it to the bottom :
Then you apply to power rule :5^(3*2) = 5^6 and it will be positive because you already got rid of the negative by bringing the value down down.
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or 
Part 1) y varies inversely with x. If y = 8 and k (the constant of variation) = 19, what is x?
we know that

substitute the given values and solve for x



Part 2) y varies inversely with x, and k (the constant of variation) = 23. What is the value of y when x = 7?
we know that

substitute the given values and solve for y



Part 3) y varies inversely with x. When y = 6.7, x = 1. What is the value of k, the constant of inverse variation?
we know that

substitute the given values and solve for k

