Question

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Answer 1

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Some Questions and Answers.

Q. What are powers and exponents?

• Power is an expression that represents the repeated multiplication of value or integer. In general, a^{n} is a power where a is the base and n is the exponent.
• For example, 6^{3} is the power which shows that 6 is multiplied by itself three times.

Q. Are Powers and exponents the same?

• If N is an integer and is raised to another integer, say ‘a’, then the whole expression, Na, is the power and a is the exponent.

Q. What are the examples of exponents?

• The examples of exponents are:
• 2 x 2x 2 =2^{3} (2 raised to 3rd power)
• 5x5x5x5 = 5^{4} (5 raised to 4th power)
• 9x9x9x9x9 = 9^{5} (9 raised to 5th power)

Q. What are the rules of exponents?

• The rules of exponents are:
• a^{0} = 1
• a^{m} a^{n} = a^{m+n}
• a^{m}/a^{n} = a^{m-n}
• (am)^{n} = a^{mn}

Q. What are negative exponents?

• A negative exponent is used when 1 is divided by repeated multiplication of a factor. Say, 1/n is given by n^{-1}, where -1 is the exponent. If a number is raised to negative exponents then it represents the reciprocal of it. For example, 3 raised to -2 is represented by 3^{-2}, which is equal to 1/3^{2}.

Q. What do we get if the exponent is 1 or 0?

• If the exponent of a base number is one, then the value of the base remains unchanged. For example, 9^{1} = 9
• If the exponent is 0, then we get 1 as the final result. For example, 9^{0} = 1