Question

Describe how (2^3)(2^-4) can be simplified.

Answer 1

Answer:

2^ (-1)

1/2

Step-by-step explanation:

Add the exponents which have common bases.

3 + (-4) = -1

2^ (-1)

1 / 2

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Answer 2

Answer:

The simplified form of the provided expression is $2^{-1}\ or\ \frac{1}{2}$

Step-by-step explanation:

Consider the provided expression:

$(2^3)(2^{-4})$

Use the product rule of exponent:

$a^m \cdot a^n=a^{m+n}$

Now use the above formula to simplify the provided expression.

$(2^3)(2^{-4})=2^{3+(-4)}$

$(2^3)(2^{-4})=2^{3-4}$

$(2^3)(2^{-4})=2^{-1}$

Hence, the simplified form of the provided expression is $2^{-1}\ or\ \frac{1}{2}$