Exponents, radicals and complex numbers worksheets Grade 10
Negative and rational exponents, higher roots, rationalizing denominators, radical equations and complex numbers.
- Zero and negative exponentsSimplify expressions with zero and negative exponents, writing answers with positive exponents.
- Rational exponentsEvaluate fraction exponents: the denominator is the root and the numerator is the power.
- Converting between radicals and rational exponentsRewrite radicals as fraction exponents and fraction exponents as radicals.
- Exponent rules with rational exponentsUse the exponent rules with fraction exponents.
- Simplifying cube roots and higher rootsTake the largest perfect cube or fourth power out of the root.
- Rationalizing the denominatorRemove roots from the denominator by multiplying by the root or the conjugate.
- Solving radical equationsIsolate the root, square both sides, solve and check.
- Imaginary numbers and powers of iSimplify square roots of negatives and powers of i.
- Adding, subtracting and multiplying complex numbersCombine real and imaginary parts and multiply complex numbers, writing a + bi.
- Dividing complex numbersMultiply the top and bottom by the conjugate, then write a + bi.
Unit packet
One two-sided worksheet for every topic, then the unit test, with the answer key at the back. Fresh each time.
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Unit test
Two problems from every topic. Pass it and move up to the next unit.
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