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kotykmax [81]
3 years ago
10

The sum of 1-3/4 6-3/8 and 1-23/32

Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

Answer:

-2.02083333333

Step-by-step explanation:

1-3 is -2/4, and 6-3 is 3/8 so -1/2/3/8 is -1 and 1/3

1-23 is -22/32,or -11/16

-1 and 1/3 + -11/16 is -2.02083333333

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Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

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Cancelling the like terms, we have,

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This equation can also be written as,

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Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer.

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