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ehidna [41]
4 years ago
14

Simplify the expression (1/4ab)^-2. Assume a ≠ 0, b ≠ 0

Mathematics
2 answers:
sergey [27]4 years ago
7 0

Answer:

The expression (\frac{1}{4ab})^{-2} is 16a^2b^2

Step-by-step explanation:

Given :  the expression (\frac{1}{4ab})^{-2}

We have to simplify the given expression (\frac{1}{4ab})^{-2}

Consider the given expression (\frac{1}{4ab})^{-2}

Apply exponent rule \left(\frac{a}{b}\right)^{-c}=\left(\left(\frac{a}{b}\right)^{-1}\right)^c=\left(\frac{b}{a}\right)^c

We have,

=\left(\frac{4ab}{1}\right)^2=\left(4ab\right)^2

Apply exponent rule , \left(a\cdot \:b\right)^n=a^nb^n

=4^2a^2b^2

Simplify, we get,

=16a^2b^2

Thus, The expression (\frac{1}{4ab})^{-2} is 16a^2b^2

Misha Larkins [42]4 years ago
6 0
( \dfrac{1}{4ab} )^{-2} =  (4ab)^2 = 16a^2b^2
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