State True/False.The standard form of the rational number 24 −64 is 3 −8 .

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State True/False.

The standard form of the rational number $24 − 64$ is $3 − 8$ .

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True

False

answer is A.

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Detailed Solution

Given rational number is

24 − 64

.
Assuming the standard form,

p q = 24 − 64

By taking factors we get,

p q = 2 × 2 × 2 × 3 − 1 × 2 × 2 × 2 × 2 × 2 × 2

p q = 2 × 2 × 2 × 3 − 1 × 2 × 2 × 2 × 2 × 2 × 2 p q = 3 − 1 × 2 × 2 × 2 = 3 − 8

Therefore, the standard form of the rational number

24 − 64

3 − 8

.
Thus, the given statement is true.
Hence, option (1) is correct.

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