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(-1/216) - Express the following as the powers of rational number.?
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(-1/216) - Express the following as the powers of rational number.?
Expressing (-1/216) as Powers of Rational Numbers
Finding the Prime Factorization of the Denominator
To express the given rational number as powers of rational numbers, we need to find the prime factorization of the denominator, which is 216.
216 can be written as:
2 x 2 x 2 x 3 x 3 x 3
Expressing the Given Rational Number as Powers of Rational Numbers
Now that we have the prime factorization of the denominator, we can express the given rational number as powers of rational numbers.
-1/216 can be written as:
-1/(2 x 2 x 2 x 3 x 3 x 3)
Expressing -1 as a Power of -1
We can express -1 as a power of -1, which is -1^1.
-1/(2 x 2 x 2 x 3 x 3 x 3) = (-1)^1/(2 x 2 x 2 x 3 x 3 x 3)
Expressing 2 as a Power of 2
We can express 2 as a power of 2, which is 2^1.
(-1)^1/(2 x 2 x 2 x 3 x 3 x 3) = (-1)^1/2^3 x 3^3
Expressing 3 as a Power of 3
We can express 3 as a power of 3, which is 3^1.
(-1)^1/2^3 x 3^3 = (-1)^1/2^3 x 3^1 x 3^2
Final Answer
Therefore, (-1/216) can be expressed as:
(-1/216) = (-1)^1/2^3 x 3^1 x 3^2
or
(-1/216) = -1/8 x 27
Community Answer
(-1/216) - Express the following as the powers of rational number.?
(-1/216)= (-1/6)^3 is the exponent of a rational number.
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(-1/216) - Express the following as the powers of rational number.?
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(-1/216) - Express the following as the powers of rational number.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about (-1/216) - Express the following as the powers of rational number.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (-1/216) - Express the following as the powers of rational number.?.
(-1/216) - Express the following as the powers of rational number.? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about (-1/216) - Express the following as the powers of rational number.? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for (-1/216) - Express the following as the powers of rational number.?.
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