Answer:
Choice C is correct
Step-by-step explanation:
The first step is to re-write the equations in exponential form.
The first equation can be written as;
[tex]\frac{M}{N}=10^{4}[/tex] since the base is 10 and 4 the exponent.
The second equation can be written as;
[tex]\frac{P}{N}=10^{5}[/tex]
The second step is to make N the subject of the formula in both equations.
Solving for N from this equation [tex]\frac{M}{N}=10^{4}[/tex], yields;
[tex]N=\frac{M}{10^{4}}[/tex]
Solving for N from the second equation [tex]\frac{P}{N}=10^{5}[/tex], yields;
[tex]N=\frac{P}{10^{5}}[/tex]
Therefore;
[tex]\frac{M}{10^{4}}=\frac{P}{10^{5} }\\\\P=10M[/tex]
