Big Ideas Math: Modeling Real Life, Grade 8
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4. Zero and Negative Exponents
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Exercise 25 Page 342

What does the definition of a negative exponent say?

a^7/64

Practice makes perfect
To simplify the given exponential expression, we will use the definition of a negative exponent.

Negative Exponents

a^(- n)=1/a^n, for every nonzero number a

Let's simplify the given expression using this definition.
8^(- 2)* a^7
1/8^2* a^7
a^7/8^2
a^7/64