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Exponent rules quiz

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  • What does the base one rule state about 1 raised to any power?
    The base one rule states that 1 raised to any power is always 1.
  • What happens to a negative number raised to an even power?
    The negative sign cancels out, so the result is positive.
  • What is the result of a negative number raised to an odd power?
    The negative sign remains, so the result is negative.
  • What is the product rule for exponents?
    When multiplying terms with the same base, add their exponents.
  • How do you simplify 4^2 × 4^1 using exponent rules?
    Add the exponents to get 4^(2+1) = 4^3.
  • What is the quotient rule for exponents?
    When dividing terms with the same base, subtract the exponents (top minus bottom).
  • How do you simplify 2^4 / 2^4 using exponent rules?
    Subtract the exponents to get 2^(4-4) = 2^0, which equals 1.
  • What does the zero exponent rule state?
    Any nonzero number raised to the zero power equals 1.
  • What does a negative exponent indicate?
    A negative exponent means take the reciprocal and rewrite with a positive exponent.
  • How do you simplify x^(-3)?
    Rewrite as 1/x^3.
  • What is the power rule for exponents?
    When raising a power to another power, multiply the exponents.
  • How do you simplify (4^3)^2 using exponent rules?
    Multiply the exponents to get 4^(3×2) = 4^6.
  • What is the power of a product rule?
    Distribute the exponent to each term inside the parentheses.
  • How do you simplify (xy^3)^4?
    Distribute the 4 to both terms: x^4 y^(3×4) = x^4 y^12.
  • What is the power of a quotient rule?
    Distribute the exponent to both the numerator and denominator.