Simplify using the exponent laws.

Hi guys,

that is the task = Simplify using the exponent laws. Show the steps in your solution. Find the value of the power (evaluate).

1. (2^3) (3^2) (2^5)

my answer:

= (2^8) (3^2)

= (256) (9)

= 2304

Is that right?

2. (2^5) (3^4)

-----------

(3^2)

my answer:

= (2^5) (3^2)

= (32) (9)

= 288

Is that right?

3. 4^3 (3/4)^2

my answer:

= 4^3 (3^2/4^2)

= 64 9/16

= 64.5625

Is that right?

Re: Simplify using the exponent laws.

First two are correct.

Quote:

Originally Posted by

**ford2008** 3. 4^3 (3/4)^2

my answer:

= 4^3 (3^2/4^2)

= 64 9/16

= 64.5625

Is that right?

$\displaystyle \4^3 (\frac{3}{4})^2 = 4^3 \frac{3^2}{4^2} = \frac{4^3.3^2}{4^2} = 4.3^2 = 36$