Question 163
How many zeros does the number
$$
2^{3^5} \times 3^{5^2} \times 5^{2^3}
$$
end with? In this problem, $a^{b^c}$ is the number you get by first calculating
the power
$$
b^c = \underbrace{b \times b \times \dots \times b}_{c \text{ times}}
$$
and then raising $a$ to this power.
A) 6 B) 8 C) 25 D) 243 E) 256
$$
2^{3^5} \times 3^{5^2} \times 5^{2^3}
$$
end with? In this problem, $a^{b^c}$ is the number you get by first calculating
the power
$$
b^c = \underbrace{b \times b \times \dots \times b}_{c \text{ times}}
$$
and then raising $a$ to this power.
A) 6 B) 8 C) 25 D) 243 E) 256