Question 1098147
<br>On the left, you are multiplying two exponential expressions with the same base, so add the exponents:
{{{2^(-3p)*2^(2p) = 2^(-3p+2p) = 2^(-p)}}}<br>
Then the equation is
{{{2^(-p) = 2^(3p)}}}<br>
Now if two exponential expressions with the same base are equal, then the two exponents are equal.  So
{{{-p = 3p}}}
{{{0 = 4p}}}
{{{p = 0}}}