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Which value is equivalent to (8 x 4 x 2) ² / (8 x 7 x (8⁰ / 7⁻3 x 7⁻9))

A. 1
B. 0
C. 7
D. 64

1 Answer

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Final answer:

The value equivalent to (8 x 4 x 2) ² / (8 x 7 x (8⁰ / 7⁻³ x 7⁻⁹)) is 2305843009213693952.

Step-by-step explanation:

To find the value equivalent to (8 x 4 x 2) ² / (8 x 7 x (8⁰ / 7⁻³ x 7⁻⁹)), we need to simplify the expression step by step. First, simplify the numerator: (8 x 4 x 2) ² = 64 x 16 = 1024. Next, simplify the denominator: 8 x 7 = 56, 8⁰ = 1, 7⁻³ = 1/7³ = 1/343, 7⁻⁹ = 1/7⁹ = 1/40353607.

So the denominator becomes 56 x (1/343 x 1/40353607). Now, simplify the expression: 1024 / (56 x (1/343 x 1/40353607)) = 1024 / (56/343/40353607) = 1024 / (56/13841287251) = 1024 x (13841287251/56) = 2305843009213693952.

User Maxim Makhun
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