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IceJOKER [234]
2 years ago
10

Which expression is equivalent to (16x^8y^-12)^1/2

Mathematics
1 answer:
MAVERICK [17]2 years ago
8 0

Answer:

The equivalent expression is \Rightarrow \dfrac{4x^4}{y^6}

Step-by-step explanation:

Given: (16x^8y^{-12})^{1/2}

We need to simplify the expression. We will distribute radical with each term inside the parentheses.

\Rightarrow (16x^8y^{-12})^{1/2}

Distribute the radical

\Rightarrow 16^{1/2}\cdot x^{8\cdot 1/2\cdot y^{-12\cdot 1/2}

\Rightarrow 4\cdot x^4\cdot y^{-6}

\Rightarrow 4x^4y^{-6}

Now we will simplify the negative exponent.

\Rightarrow \dfrac{4x^4}{y^6}

Hence, The equivalent expression is \Rightarrow \dfrac{4x^4}{y^6}

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