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iris [78.8K]
3 years ago
11

What is the value of

Mathematics
2 answers:
Yuri [45]3 years ago
8 0

\left( \dfrac 2 3 \right)^{-4} = \left( \dfrac 3 2 \right)^4 = \dfrac{3^4}{2^4} = \dfrac{81}{16}

Second choice

JulsSmile [24]3 years ago
4 0

For this case we have the following expression:

(\frac{2}{3})^{-4}

By properties of powers we can rewrite the given expression.

We have then:

\frac{1}{(\frac{2}{3})^4}

Then, rewriting the denominator of the fraction we have:

\frac{1}{\frac{16}{81}}

Finally rewriting the fraction we have:

\frac{81}{16}

Answer:

The equivalent expression is given by:

\frac{81}{16}

option 1

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In OPTION A, Square root is taken on both sides.

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In OPTION D: The square is expanded on LHS whereas on the RHS square root is taken. So, it is not correct and is eliminated.

Therefore, the correct option is A.

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