### Home > CC3 > Chapter 8 > Lesson 8.2.2 > Problem8-66

8-66.
1. Simplify each expression. Homework Help ✎

1. (3x)4

Recall that when you divide a number by itself, the quotient is 1. Can you find any factors that are in both the numerator and the denominator?

You can rewrite the expression.

$\frac{3\cdot3\cdot5\cdot5\cdot5\cdot8}{3\cdot5\cdot5\cdot5\cdot8}$

There are three 5's on the top and on the bottom, which may be removed by division. Similarly, there are 8's and 3's that can be removed.

3

Rewrite the expression and simplify.

(3x)(3x)(3x)(3x)

81x4

You can rewrite this expression as:

$\frac{3^{3}3^{5}}{3^{2}}$

See (a).