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Give the example of Exponents?
When a number is multiplied several times, it is easier to write it as an exponent.For example, four multiplied to itself three times, is written four to the third power. (4x4x4) = 4^{3}4^{3 }is an example of an exponential expression.The bottom number, 4, is called the base number. The top number, 3, is called the exponent or power.4^{3} is read "4 to the power of 3", "4 to the third power", or "4 to the third." Multiplying Exponential Expressions: When you are multiplying two or more exponential expressions, which have the same base, add the exponents.For example, four to the power of two times four to the power of three is four to the power of two plus three, which equals four to the power of five.The final answer is four multiplied to itself five times, 1024. The same rule goes for products of more than two exponential expressions. (15^{1} x15^{2}x15^{3}) = 15 ^{(1+2+3)} = 15^{6}Dividing Exponential ExpressionsWhen you are dividing two exponential expressions, which have the same base, subtract the exponents. Subtract the bottom exponent from the top exponent.For example, fifteen to the power of three divided by fifteen to the power of two is fifteen to the power of three minus two. 15^{3}/15^{2} = 15^{(3/2)} = 15^{1} = 15Raising an Exponential Expression to the nth powerWhen you want to raise an exponential expression to a power, simply multiply the exponents.For example, four to the second power raised to the third power equals four to the two times three power, which is four to the sixth power. (4^{2})^{3} = 4^{(2x3)} = 4^{6}The final answer is four multiplied to itself six times, which is 4096.
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