### Home > PC > Chapter 1 > Lesson 1.2.2 > Problem1-83

1-83.

Write each expression in a simpler form by using the smallest base. (The answer will not always be in $p^q$ form.)

1. $6^{2} · 36^{−3} · 216^{0}$

$216^{\large\circ} =1$

$6^{-4}$

1. $\frac { 25 ^ { 2 } \cdot 5 ^ { - 3 } } { 125 ^ { - 2 } }$

Convert all the bases to $5$.

1. $\left(3 · 19^{97}\right) ÷ \left(8 · 19^{94}\right)$

$\frac{3\cdot19^{97}}{8\cdot 19^{94}}=$

$\frac{3}{8} \cdot 19^{97-94}=$

$\frac{3}{8} \cdot 19^3$

1. $\left(3 · 19^{−97}\right) ÷ \left(8 · 19^{−94}\right)$

Follow the same process as (c).