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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
4.7 Powers of Integers I

If 'a' is an integer, the product of a x a x a x a x......x a for n times is denoted by an.

In an,
a is called the base,
n is called the index, and
an itself is called the nth power of a.

Example:
2 x 2 x 2 x 2 is written as 24, where 2 is the base and 4 is the index.

Example:
Write (-2) x (-2) x (-2) as a power.
(-2)3
More Examples:
3 x 3 x 3 x 3 x 3 x 3 = 36
10 x 10 x 10 = 103
(-7) x (-7) x (-7) = (-7)3
(-12) x (-12) x (-12) x (-12) x (-12) = (-12)5


Directions: Choose the correct answer. Also write at least 10 examples of your own.
Q 1: In 156, what is the base?
15
6

Q 2: In 1015, what is the index?
10
5
15

Q 3: 26 is read as ____.
2nd power of 6
6th power of 2

Q 4: In 156, what is the index?
15
6
22

Q 5: In (-7)12, what is the index?
12
12-7
-7

Q 6: Write 6x6x6x6x6 as a power.
65
56

Q 7: In (-2)15, what is the base?
15
-2

Q 8: (-3)9 is read as ______.
9th power of (-3)
(-3)rd power of 9

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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