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Ents \( \quad \) Fill in the blank. The negative-exponent rule states that \( \mathrm{b}^{-\mathrm{n}}=\square \mathrm{b} \neq 0 \). The negative-exponent rule states that \( \mathrm{b}^{-n}=\square, \mathrm{F}, \mathrm{b} \neq 0 \).

Ask by Tucker Allan. in the United States
Jan 24,2025

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The negative-exponent rule states that \( b^{-n} = \frac{1}{b^n} \) when \( b \neq 0 \).

Solution

The negative-exponent rule states that \( b^{-n} = \frac{1}{b^n} \) for \( b \neq 0 \). So, the filled-in blanks would be: 1. The negative-exponent rule states that \( b^{-n} = \frac{1}{b^n} \). 2. The negative-exponent rule states that \( b^{-n} = \frac{1}{b^n}, \, b \neq 0 \).

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The Deep Dive

The negative-exponent rule states that \( \mathrm{b}^{-n}=\frac{1}{\mathrm{b}^n}, \mathrm{F}, \mathrm{b} \neq 0 \). This simple concept is a game-changer when working with exponents! When you encounter a negative exponent, think of it as a friendly invitation to flip the fraction. Instead of being intimidated, just remember that dropping the negative sign means you're moving to the denominator and turning it into a positive exponent. It's the perfect little trick to simplify those tricky math problems!

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