Question
9) \( 16^{-3}= \)
Ask by Cummings Conner. in Saint Lucia
Jan 17,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 16^{-3} = \frac{1}{4096} \)
Solution
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Bonus Knowledge
To solve \( 16^{-3} \), first recall that a negative exponent indicates a reciprocal. Thus, \( 16^{-3} = \frac{1}{16^{3}} \). Next, calculate \( 16^3 \). Since \( 16 = 2^4 \), we can rewrite it as \( (2^4)^3 = 2^{12} \). Therefore, \( 16^3 = 4096\), which gives us \( 16^{-3} = \frac{1}{4096} \). So, \( 16^{-3} = \frac{1}{4096} \).
