Help my algebra question?

Posted on 2017-05-30 18:34:00 in Math by YUTO

Could someone please check my work on the following paragraph proof? This is to show why 11^1/n must equal n(sqrt)11 to uphold the properties of exponents, fill in the blanks to complete the paragraph proof. The answers I filled in are between ** Suppose b^n=11. Then b is the **nth** root of 11, which is written as **11^1/n**. Now consider that 11=11^1 and that n/n=1. By substitution, 11^1=11^n/n and by the **Power of a Power** property of exponents, 11^n/n=11^(1/n*n)=**(11^1/n)^n**. By the transitive property, since b^n=11 and 11=**(11^1/n)^n**, we know that b^n=**(11^1/n)^n)**. Therefore, b=11^1/n and as previously shown b=**n(sqrt)11**. Thus, **n(sqrt)11=11^1/n** Sorry it's so long, but I would appreciate any help!

---

Answer Comment

No Answers Posted Yet.