How do you simplify (2^2)^2*(2^3)^-1(22)2(23)1 and write it using only positive exponents?

2 Answers
Apr 11, 2017

I found 22

Explanation:

We can use some properties of exponents and write it as:
2^(2*2)/2^3=2^4/2^3=222223=2423=2

Where we used the following:
(x^a)^b=x^(a*b)(xa)b=xab
and
x^-a=1/x^axa=1xa

Apr 11, 2017

22

Explanation:

(2^2)^2*(2^3)^-1(22)2(23)1

:.=(2*2)*(2*2)*(2*2*2)^(-1)

:.=4*4*8^-1

:.=16*1/8

:.=16/8

:.=2