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Simplify. Write the expression using only positive exponents. n8.58 The simplified expression is

Simplify. Write the expression using only positive exponents. n8.58 The simplified-example-1
User JeremyS
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Given the expression:


(r^8\cdot r^(-8))/(4)

to simplify, first we must use the following rule for exponents:


a^n\cdot a^m=a^(n+m)

then, in this case we have the following:


(r^8\cdot r^(-8))/(4)=(r^(8+(-8)))/(4)=(r^(8-8))/(4)=(r^0)/(4)

now, remember that any number with an exponent 0 is the unit, this means that a^0=1, then:


(r^0)/(4)=(1)/(4)

therefore, the simplified expression is 1/4

User Marshalllaw
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