Please Simplify

(2^-1∙7^-4)^-2

4-2.89+16

answer= 17.11

= 2^2 * 7^8 or 23059204

first 2^-1 = -3

then 7^-4=-5
-3x-5=15
15^-2=15 so your answer is 15

i suggest you use a scientific calculator.

well we all got different answers but i think jose is right ;)

thanks =D.

(2^-1∙7^-4)^-2

= [(1/2)(1/7^4)^-2
= (1/4802)^-2
= (4802/1)^2
= 23059204

or

(2^-1∙7^-4)^-2 , using the rule (a^x)^y = a^xy
= [(2^2)(7^8)]
= 4(5764801)
= 23059204

ho, hum !

how do you square 2 and get 1/2?

Cody, please learn the rules of exponents

2^-1 = (1/2)^+1 = 1/2

a-n = 1/an

ohhhh sorry about that. i didn't see the negative, i thought it was positive. :(

So here are the choices

2^2*7^8

2^5 * 7^5

1/both of them