Question

find the value of p if 2to the power of 5p divided by 2to the power of p is equal to 5220

Answer 1

Answer:

$\red { Value \: of \: p } \green { = 1305 }$

Step-by-step explanation:

/* It may be like this .

$\frac{2^{5p}}{2^{p}} = 2^{5220}$

$\implies 2^{5p-p} = 2^{5220}$

$\boxed { \pink { \frac{a^{m}}{a^{n}} = a^{m-n}}}$

$\implies 2^{4p} = 2^{5220}$

$\implies 4p = 5220$

$\boxed { \orange { If \: a^{m} = a^{n} \implies m = n }}$

$\implies p = \frac{5220}{4} = 1305$

Therefore.,

$\red { Value \: of \: p } \green { = 1305 }$

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