Answer
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Step 1:Combine Exponents
3^3 \times 3^{-7} = 3^{3 + (-7)}
When multiplying powers with the same base, add the exponents.
Step 2:Simplify Exponent
3^{3 + (-7)} = 3^{-4}
Add the exponents to get negative four.
Step 3:Rewrite with Positive Exponent
3^{-4} = \frac{1}{3^4}
A negative exponent means the reciprocal.
Step 4:Calculate the Power
3^4 = 81
Three to the fourth power is eighty-one.
Final Answer
\frac{1}{81}
The simplified value is one over eighty-one.
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