Monday

April 21, 2014

April 21, 2014

Posted by **Victoria** on Wednesday, May 14, 2008 at 1:04am.

(4)^(3/square root 2) ÷ 16^(2*square root 2) ?

- Math -
**drwls**, Wednesday, May 14, 2008 at 1:59amRecognize that

16^(2*square root 2)= (4^2)^(2sqrt2)

= 4^(4sqrt2)

So your expression can be written

4^(3/sqrt2)/4^(4sqrt2)

= 4^[(3/sqrt2)-(4sqrt2)]

= 4^[(3/2)sqrt2-4sqrt2]

= 4^[-(5/2)sqrt2]

= 2(-5sqrt2)

I might have made a mistake somewhere, so be sure to verify the steps.

**Related Questions**

Math - Just need some help... Directions: Multiply or raise to the power as ...

Algebra - Rationalize each expression by building perfect nth root factors for ...

Math simplifying mixed radicals - Please help me simplify these following mixed ...

Math ~CHECK MY ANSWER~ - 1) Which of these is a rational number? a. Pi b. Square...

Math simplifying mixed radicals - Please help me simplify these following mixed...

Math PLEASE HELP ASAP - -PLEASE INCLUDE SOLUTIONS AND EXPLAIN HOW YOU DID IT ...

Math ~CHECK MY ANSWERS~ - 1) Which of these is a rational number? a. Pi b. ...

Math - What is the square root of 12? 3.464 Well, that's true, but you could ...

math - determine the area of triangle abc when side ab= square root of x, side ...

Algebra - 69: 16x^2+8x-3. I inserted this into the quadratic formula and got -8...