Exponents Tutorial 3 f An Exponent is a

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Exponents Tutorial 3 f

Exponents Tutorial 3 f

An Exponent is : a number, letter, or algebraic expression written above and to

An Exponent is : a number, letter, or algebraic expression written above and to the right of another number, letter, or expression called the base. In the expressions x 2 and xn, the number 2 and the letter n are the exponents respectively of the base x 2 exponent

The exponent indicates the power to which the base is to be raised. This

The exponent indicates the power to which the base is to be raised. This means that if you have x 3 then you would multiply x by itself three times : x 3 = x x x or 33 = 3 3 3 Any number to zero power (40) equals 1.

Exponent Rules If two numbers having the same bases are being multiplied, add the

Exponent Rules If two numbers having the same bases are being multiplied, add the exponents of those numbers. x 2 x 3 = x(2+3) = x 5 or 32 3 3 = 3(2+3) = 35 or 75 7 4 = 79

Exponent Rules If two numbers having the same bases are being divided, subtract the

Exponent Rules If two numbers having the same bases are being divided, subtract the exponent of the 2 nd term from the 1 st term. x 3 ÷ x 2 = x(3 -2) = x 1 or 53 ÷ 5 2 = 5(3 -2) = 51 or 27 ÷ 2 3 = 24

Exponent Rules If an exponent is being raised by another exponent then multiply the

Exponent Rules If an exponent is being raised by another exponent then multiply the exponents. (x 3)2 = x 3 = x 6 or (62)4 = 68

Answer the Following Questions: 1. 23 2 is the 2. 310 10 is the

Answer the Following Questions: 1. 23 2 is the 2. 310 10 is the 3. 3 x x is the 3. 121 12 is the base exponent

Answer the Following Questions: 10 1. 102 = 20 100 6 2. 3(1 +

Answer the Following Questions: 10 1. 102 = 20 100 6 2. 3(1 + 2) = 27 312 2. 22 = 4 8 12 1 2. 990 = 99 14980

Answer the Following Questions: 1. 102 103 2. 46 ÷ 44 101 = 105

Answer the Following Questions: 1. 102 103 2. 46 ÷ 44 101 = 105 106 42 = 41 40 3. (126)7 4. (32)1 = 1213 1242 1267 = 9 27 6

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