Which expression is equivalent to (10^9)^-5?
Which expression is equivalent to (10^9)^-5?
Answer: \( \frac{1}{10^{45}} \)
Explanation: Using the power of a power property \((a^m)^n = a^{m \cdot n}\), we have \((10^9)^{-5} = 10^{9 \cdot (-5)} = 10^{-45}\). This is equivalent to \(\frac{1}{10^{45}}\).
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