Simplify using a single whole number exponent and the same base as given. Please help!

Question

asked Dec 13, 2024 220k views

1 Answer

Ainsausti · Answer 1 · 2024-12-19T00:26:47+0000

Answer:

1/2⁷

Explanation:

You want to simplify the expression 2/2⁸.

The rules of exponents applicable here are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c) = 1/(a^(c-b)

We can simplify the expression this way ...

$(2)/(2^8)=(2^1)/(2^8)=(1)/(2^(8-1))=\boxed{(1)/(2^7)}$

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