Indices
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This document defines indices and provides examples of exponents and bases. It lists terms like "a to the nth power" and "a raised to the exponent n" to describe indices. Several examples are given of numbers raised to positive and negative powers, including 102, (-4)3, 75, (-12)9, (-21)2, 10-2, (-4)-3, 132, (-12)3, and (-43)2. Exercises at the end ask the reader to write out expressions in exponent form.
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Indices
- 1. Indices
- 2. n Exponent Power Index Base a Indices a to the power n a to the nth power a raised to the nth power a raised to the exponent n
- 3. 7 Exponent Power Index Base 2 Indices two to the power seven two to the seventh power two raised to the seventh power two raised to the exponent n
- 4. 4 Exponent Power Index Base 5 Indices five to the power four
- 5. 8 Exponent Power Index Base (-6) Indices negative six to the power eight
- 6. -9 Exponent Power Index Base 3 Indices three to the power negative nine
- 7. 2 Exponent Power Index Base 5 Indices five to the power two five squared
- 8. 2 Exponent Power Index Base (-1) Indices negative one to the power two negative one squared
- 9. 3 Exponent Power Index Base 3 Indices three to the power three three cubed
- 10. 3 Exponent Power Index Base (-1) Indices negative one to the power three negative one cubed
- 11. Exercise 1) 102 2) (-4)3 3) 75 4) (-12)9 5) (-21)2 ten squared negative four cubed seven to the power five negative twelve to the power nine negative twenty-one squared
- 12. Exercise 6) 10-2 7) (-4)-3 8) 132 4) (-12)3 5) (-43)2 ten to the power negative two negative four to the power negative three thirteen squared negative twelve cubed negative forty-three squared