Posted by **noel** on Sunday, May 27, 2012 at 10:52pm.

Simplify the following using the laws of exponents:

Need help with these:

a) (9)^1/2 x 4^2/24

b) 16 x 2^x+2

Simplify each of the following:

b) b) 3 sqrt x^1/4 sqrt x/ 5 sqrt x^2

c) (ab)^2x+y /a^x b^y

Need these answers double checked:

c) 3^-8/3^-6 x 3^-5

3^-8/3^-6+-5

3-8^ 3^-11

3^-19

d) (4^-2 x 2^-4)^-1

(4^2 x 2^4)

4^2 2^4

- math (please double check my answers) -
**Reiny**, Sunday, May 27, 2012 at 11:07pm
a) (9)^1/2 x 4^2/24

according to the way you typed it...

= 3 x 16/24

= 2

b) you probably meant

16 x 2^(x+2)

= 2^4 x 2^(x+2) = 2^(x+6)

3 sqrt x^1/4 sqrt x/ 5 sqrt x^2

- the order of operation is too ambiguous , use brackets to make it clear.

c) 3^-8/3^-6 x 3^-5

= (3^-8)/(3^-6) * (3^-5)

= 3^(-8 + 6 - 5)

= 3^-7

or

1/3^7

(4^-2 x 2^-4)^-1

= 4^2 * 2^4

= 16(16) = 256

notice we use * or brackets for multiplication and

we use / for ÷

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