Question
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Answer
La respuesta es 20736.
Solution
Calculate or simplify the expression \( 12^{-3} * 12^{7} \).
Calculate the value by following steps:
- step0: Calculate:
\(12^{-3}\times 12^{7}\)
- step1: Multiply:
\(12^{-3+7}\)
- step2: Add the numbers:
\(12^{4}\)
- step3: Evaluate the power:
\(20736\)
La expresión \(12^{-3} * 12^{7}\) se simplifica a 20736.
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Simplify this solution Bonus Knowledge
To solve \( 12^{-3} * 12^{7} \), you can use the property of exponents that states when multiplying with the same base, you add the exponents. So, \( 12^{-3 + 7} = 12^{4} \). Then, \( 12^{4} = 20736 \). In terms of exponent rules, remember that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. So, \( 12^{-3} \) is equal to \( \frac{1}{12^3} \) which is a handy way to remember how to manipulate negative exponents!
