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### Simplify the Expression

```
Date: 08/21/97 at 01:34:52
From: Bobby Mummon
Subject: Pre-calculus

Simplify the expression and eliminate any negative exponents.

I am stuck on this problem:

(4b)^1/2(8b^2/5)
```

```
Date: 08/27/97 at 10:16:59
From: Doctor Rob
Subject: Re: Pre-calculus

Use the Laws of Exponents.  Two of them say

(1) (ab)^c = a^c*b^c,   and
(2) a^(b+c) = a^b*a^c.

(4*b)^(1/2)*(8*b^(2/5))
= 4^(1/2)*b^(1/2)*8*b^(2/5), by using (1) above,
= 2*8*b^(1/2 + 2/5), by using the Commutative Law and (2) above,
= 16*b^(9/10).

-Doctor Rob,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
High School Exponents

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