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vodomira [7]
3 years ago
8

Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2

Mathematics
1 answer:
Katen [24]3 years ago
4 0

Answer:

Step-by-step explanation:

(5^{-2} × 4^{-4} )^{-2}

=(5^{-2})^{-2} x (4^{-4})^{-2}                            ∴(a.b)^{n} =a^{n} .b^{n}

=5^{-2.-2} x 4^{-4 . -2}                              ∴(a^{n} )^{m} = a^{nm} // here m is an exponent of a^{n}.

=5^{4} x 4^{8}

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