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DaniilM [7]
3 years ago
8

Simplify the expression (1/4ab)^-2

Mathematics
2 answers:
Neko [114]3 years ago
8 0
(1/4ab)^(-2)
(1/4)^(-2)(a)^(-2)(b)^(-2)
(4)^(2)(1/a(^2))(1/b(^2))
16/((a^2)(b^2))
Dmitrij [34]3 years ago
8 0

Answer:

\frac{16}{a^{2}b^{2}}

Step-by-step explanation:

we have

(\frac{1}{4}ab)^{-2}

Remember that

(\frac{a}{b})^{-x}=(\frac{b}{a})^{x}=\frac{b^{x}}{a^{x}}

so

(\frac{1}{4}ab)^{-2}=(\frac{4}{ab})^{2}=\frac{16}{a^{2}b^{2}}

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