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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Mathematics

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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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Gianni Ball · Answer 1

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