### Home > ACC7 > Chapter 8 Unit 9 > Lesson CC3: 8.1.3 > Problem8-31

8-31.

Simplify each exponential expression.

1. $2^4$

$2 \left(2\right) \left(2\right) \left(2\right)$

1. $3^6$

Multiply $3$ by itself $6$ times.

$3 \left(3\right) \left(3\right) \left(3\right) \left(3\right) \left(3\right)$

1. $25^3$

$15625$

1. $4^2$

$16$

1. $9^3$

$9 \left(9\right) \left(9\right)$

$729$

1. $5^6$

Multiply $5$ by itself $6$times.

1. What patterns do you see between the expressions in parts (a) through (f) whose simplified forms are equal?

• (a) and (d), (b) and (e), (c) and (f) have the same answers. How is this possible?

Notice that the base in (d) is the square of the base in (a).
How does this apply to the other two pairs?
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