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DEFINITION. Powers are used to describe the result of repeatedly multiplying a number by itself. a·a·a = a 3 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. Sección Europea IES Izpisúa Belmonte.

How to read powers We have some possibilities: a raised to the b-th power. a raised to the power of b. a to the power of b. a to the b-th. Sección Europea IES Izpisúa Belmonte.

is three raised to the fifth power, 3 to the power of 5, three to the fifth, three raised to the power of five. Special: is three squared and is seven cubed. Sección Europea IES Izpisúa Belmonte. Examples

Multiplying powers with the same base. You can multiply powers with the same base by adding the exponent. Sección Europea IES Izpisúa Belmonte.

Multiplying powers with the same exponent. You can multiply powers with the same exponent by multiplying the bases. Sección Europea IES Izpisúa Belmonte.

Dividing powers with the same base. You can divide powers with the same base by subtracting the exponents. Sección Europea IES Izpisúa Belmonte.

Dividing powers with the same exponent. You can divide powers with the same exponent by dividing the bases. Sección Europea IES Izpisúa Belmonte.

Power of a power. You can simplify the power of a power by multiplying the exponents. Sección Europea IES Izpisúa Belmonte.

Powers with exponent zero Any number raised to the power of zero is equal to 1 Sección Europea IES Izpisúa Belmonte.

Negative powers. Negative power represents the reciprocal of a number. Sección Europea IES Izpisúa Belmonte.

Roots is the square root of a. is the cube root of a. is the n-th root of a. Sección Europea IES Izpisúa Belmonte.

Powers and roots A root is also a power Sección Europea IES Izpisúa Belmonte.