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:
The simplified form of the provided expression is [tex]2^{-1}\ or\ \frac{1}{2}[/tex]
Step-by-step explanation:
Consider the provided expression:
[tex](2^3)(2^{-4})[/tex]
Use the product rule of exponent:
[tex]a^m \cdot a^n=a^{m+n}[/tex]
Now use the above formula to simplify the provided expression.
[tex](2^3)(2^{-4})=2^{3+(-4)}[/tex]
[tex](2^3)(2^{-4})=2^{3-4}[/tex]
[tex](2^3)(2^{-4})=2^{-1}[/tex]
Hence, the simplified form of the provided expression is [tex]2^{-1}\ or\ \frac{1}{2}[/tex]
