Answer
$$64\ p^{15}q^{21}r^{3}
.$$
Work Step by Step
By raising each factor to the power and multiplying the exponents, we have
$$(4p^5q^7r)^3=4^3p^{15}q^{21}r^{3}=64\ p^{15}q^{21}r^{3}
.$$
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