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15 March, 13:30

Which expressions are equivalent to 4^{-2} / cdot 7^{-2}4 - 2 ⋅7 - 2 4, start superscript, minus, 2, end superscript, dot, 7, start superscript, minus, 2, end superscript?

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  1. 15 March, 16:25
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    Step-by-step explanation:

    Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.

    Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:

    4^{-2}•7^{-2} = 1/4^2 • 1/7^2

    = 1 / (4*4) • 1 / (7*7)

    = 1/16 • 1/49

    = 1 / (16*49)

    = 1/784
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