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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 N858 The Simplified Expression Is class=

Sagot :

Given the expression:

[tex]\frac{r^8\cdot r^{-8}}{4}[/tex]

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

[tex]a^n\cdot a^m=a^{n+m}[/tex]

then, in this case we have the following:

[tex]\frac{r^8\cdot r^{-8}}{4}=\frac{r^{8+(-8)}}{4}=\frac{r^{8-8}}{4}=\frac{r^0}{4}[/tex]

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

[tex]\frac{r^0}{4}=\frac{1}{4}[/tex]

therefore, the simplified expression is 1/4

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