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Zero and negative exponents worksheets Grade 10

Simplify expressions with zero and negative exponents, writing answers with positive exponents.

The front of the free zero and negative exponents worksheet
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Free · Worked example · 51 problems · Answer key · US Letter

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How to do it

x⁻ⁿ = 1/xⁿ and x⁰ = 1. Write every answer with positive exponents.

5−3=153=11255^{-3} = \dfrac{1}{5^{3}} = \dfrac{1}{125}a negative exponent: one over the positive power

Example problems

  1. (x−4)3=(x^{-4})^{3} =
  2. (x−2)4=(x^{-2})^{4} =
  3. 4x0⋅x3=4x^{0} \cdot x^{3} =
  4. 9x−3=9x^{-3} =

Exponents, radicals and complex numbers

  1. Zero and negative exponents
  2. Rational exponents
  3. Converting between radicals and rational exponents
  4. Exponent rules with rational exponents
  5. Simplifying cube roots and higher roots
  6. Rationalizing the denominator
  7. Solving radical equations
  8. Imaginary numbers and powers of i
  9. Adding, subtracting and multiplying complex numbers
  10. Dividing complex numbers