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alukav5142 [94]
3 years ago
12

Which expression is equivalent to (1/4ab)^-2? Assume a is not equal to 0,b is not equal to 0

Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0

Answer:

d. 16a^2b^2

Step-by-step explanation:

Given expression,

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

=((4ab)^{-1})^{-2}     \because \frac{1}{a^m}=a^{-m}

=(4ab)^{-1\times -2}    \because (a^m)^n=a^{mn}

=(4ab)^2

=(4)^2(a)^2(b)^2        \because (ab)^m=a^mb^m

=16a^2b^2

Hence, option d is correct.

Pie3 years ago
7 0
The answer would be D. 
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