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

Answer 1

Savannah Anderson

I found #2#

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

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

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Answer 2

Julia Adams

#2#

#(2^2)^2*(2^3)^-1#

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

#:.=4*4*8^-1#

#:.=16*1/8#

#:.=16/8#

#:.=2#

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Answer 3

Ethan Adkins

To simplify (2^2)^2*(2^3)^-1 and write it using only positive exponents, you can use the properties of exponents.

(2^2)^2*(2^3)^-1 = 2^(22) * 2^(3-1) = 2^4 * 2^(-3) = 2^(4-3) = 2^1 = 2

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.