Stacking Powers On Powers

By rules of exponents , we have $\large (p^A)^B = p^{A\times B}$ .

Similarly, we can have $\large ((p^A)^B)^C = p^{A\times B \times C}$ .

In this case, we have $A = 0.2, B = 4, C = 3$ , and so the expression simplifies to

$\Large p^{0.2\times 4\times3} = p^{2.4} \qquad \square$

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Note that $p^{A^{B^C}} \ne p^{A\times B \times C}$ . You may read further in this wiki: How are exponent towers evaluated? Is $a^{b^c}$ equal to $a^{b\times c}$ ? .