7th Grade Math

26 Expressions and Patterns

You can evaluate, or find the value of, powers by multiplying the

factors. Numbers written without exponents are in standard form.

Write Powers in Standard Form

Evaluate each expression.

25 83

25 = 2 · 2 · 2 · 2 · 2 8^3 = 8 · 8 · 8

= 32 = 512

d. 102 e. 73 f. 17

Numbers written with exponents are in exponential form.

Write Numbers in Exponential Form

Write 3 · 3 · 3 · 3 in exponential form.

3 is the base. It is used as a factor 4 times. So, the exponent is 4.

3 · 3 · 3 · 3 = 34

Write each product in exponential form.

g. 10 · 10 · 10 · 10 h. 12 · 12 · 12 · 12 · 12 · 12

Examples 1 and 2 Write each power as a product of the same factor.

1. 93 2. 85 33 55

Examples 3 and 4 Evaluate each expression.

4. 24 5. 103 6. 122


5. POPULATION There are approximately 7^6 people living in Springfield,
   Illinois. About how many people is this?

Example 5 Write each product in exponential form.

8. 11 · 11 · 11 9. 1 · 1 · 1 · 1 10. 4 · 4 · 4 · 4 · 4

Everyday Use

Evaluate to find what

something is worth

Math Use

Evaluate find the value of

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