Explore a diverse range of topics and get answers from knowledgeable individuals on IDNLearn.com. Discover the reliable solutions you need with help from our comprehensive and accurate Q&A platform.

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

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.