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The bases will stay the same but you will have to add the exponents to simplify.

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Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The given expression is:

[tex](2^3)(2^{-4})[/tex]

As from the given expression, we cab see that teh base is same that is [tex]2[/tex] but the powers are different. Therefore, using the property of powers and exponents that is if base is same then the powers gets added, thus the expression becomes

=[tex](2^{3+(-4)})[/tex]

=[tex]2^{-1}[/tex]

=[tex]\frac{1}{2}[/tex]

which is the required simplified form of the given expression.

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