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# Powers And Roots

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### Powers And Roots

1. 1. POWERS AND ROOTS.<br />Sección Europea IES Izpisúa Belmonte.<br />
2. 2. DEFINITION.<br />Powers are used to describe the result of repeatedly multiplying a number by itself.<br />a·a·a = a3<br /> The number that is successively multiplied by itself is called the base. A small raised number called exponent follows the base and indicates the number of times the base is to be multiplied. <br /> <br />Sección Europea IES Izpisúa Belmonte.<br />
3. 3. Howtoreadpowers<br />We have some possibilities:<br />a raised to the b-th power.<br />a raised to the power of b.<br />a to the power of b.<br />a to the b-th.<br />Sección Europea IES Izpisúa Belmonte.<br />
4. 4. is three raised to the fifth power, 3 to the power of 5, three to the fifth, three raised to the power of five.<br />Special: is three squared and is seven cubed.<br />Sección Europea IES Izpisúa Belmonte.<br />Examples<br />
5. 5. Multiplying powers with the same base.<br />You can multiply powers with the same base by adding the exponent. <br /> <br />Sección Europea IES Izpisúa Belmonte.<br />
6. 6. Multiplying powers with the same exponent.<br />You can multiply powers with the same exponent by multiplying the bases.<br />Sección Europea IES Izpisúa Belmonte.<br />
7. 7. Dividing powers with the same base.<br />You can divide powers with the same base by subtracting the exponents.<br />Sección Europea IES Izpisúa Belmonte.<br />
8. 8. Dividing powers with the same exponent.<br />You can divide powers with the same exponent by dividing the bases.<br />Sección Europea IES Izpisúa Belmonte.<br />
9. 9. Power of a power.<br />You can simplify the power of a power by multiplying the exponents.<br />Sección Europea IES Izpisúa Belmonte.<br />
10. 10. Powers withexponentzero<br />Any number raised to the power of zero is equal to 1 <br />Sección Europea IES Izpisúa Belmonte.<br />
11. 11. Negativepowers.<br />Negative power represents the reciprocal of a number .<br />Sección Europea IES Izpisúa Belmonte.<br />
12. 12. Roots<br />isthesquareroot of a.<br />isthe cube root of a.<br />isthe n-throot of a.<br />Sección Europea IES Izpisúa Belmonte.<br />
13. 13. Powers and roots<br />A root is also a power<br />Sección Europea IES Izpisúa Belmonte.<br />