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\( 64^{-\frac{1}{2}} = \frac{1}{8} \)
Solución
To simplify 64^(-1/2), follow these steps:
1. A negative exponent means you take the reciprocal. So, 64^(-1/2) becomes 1/(64^(1/2)).
2. Next, 64^(1/2) is the square root of 64, which is 8.
Thus, 64^(-1/2) simplifies to 1/8.
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Simplifique esta solución Mind Expander
To simplify \( 64^{-\frac{1}{2}} \), we start by recognizing the base. Since \( 64 = 8^2 = 4^3 = 2^6 \), we can pick the one that suits us best. Here, let's break it down: \( 64^{-\frac{1}{2}} = \frac{1}{64^{\frac{1}{2}}} \). The square root of \( 64 \) is \( 8 \), so \( 64^{\frac{1}{2}} = 8 \), which gives us: \( 64^{-\frac{1}{2}} = \frac{1}{8} \). And there we have it, the simplified answer is \( \frac{1}{8} \).
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