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Negative exponent|math tricks|math hack|learn with logic

*Problem: Evaluate $64^{-\frac{4}{3}}$* To solve this problem, we'll follow these steps: 1. *Rewrite the base as a power of a smaller number:* We know that $64 = 4^3$. So, we can rewrite the expression as: $$64^{-\frac{4}{3}} = (4^3)^{-\frac{4}{3}}$$ 2. *Apply the power of a power rule:* Using the property $(a^m)^n = a^{m \cdot n}$: $$(4^3 ...

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Top suggestions for calculate \[\boxed{\binom{6}{4} \cdot 25^2 + \binom{6}{2} \cdot 25^4 - 15}.\]

Sample Size Determination

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