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Practice Solving Problems with Negative Exponents

Practice Problems

Answers

  1. This is the definition for negative exponents:

    $$x^{-n}=\dfrac{1}{x^n}$$

    $$x^{-6}=\dfrac{1}{x^{6}}$$

  2. This is the definition for negative exponents:

    $$x^{-n}=\dfrac{1}{x^n}$$

    $$2^{-4}=\dfrac{1}{2^{4}}$$

  3. This is the definition for negative exponents:

    $$x^{-n}=\dfrac{1}{x^n}$$

    Applying the definition in the reverse direction, we get

    $$\dfrac{1}{a^7}=a^{-7}$$

  4. This is the definition for negative exponents:

    $$x^{-n}=\dfrac{1}{x^n}$$

    Applying the definition in the reverse direction, we get:

    $$\dfrac{1}{9^{2}}=9^{-{2}}$$