Question

Pls guys help


$\sf 16^4\times 256^2$​

Answer 1

Step-by-step explanation:

The expression is (\sqrt[4]{256})^{-2}=\frac{1}{16}(

4

256

)

−2

=

16

1

Step-by-step explanation:

Given : Expression (\sqrt[4]{256})^{-2}(

4

256

)

−2

To find : Simplify the expression ?

Solution :

We know that, \sqrt[n]{x}=x^{\frac{1}{n}}

n

x

=x

n

1

Applying in the expression,

(\sqrt[4]{256})^{-2}=(256)^{-\frac{2}{4}}(

4

256

)

−2

=(256)

−

4

2

(\sqrt[4]{256})^{-2}=(256)^{-\frac{1}{2}}(

4

256

)

−2

=(256)

−

2

1

(\sqrt[4]{256})^{-2}=(16^2)^{-\frac{1}{2}}(

4

256

)

−2

=(16

2

)

−

2

1

(\sqrt[4]{256})^{-2}=(16)^{-1}(

4

256

)

−2

=(16)

−1

(\sqrt[4]{256})^{-2}=\frac{1}{16}(

4

256

)

−2

=

16

1

Therefore, the expression is (\sqrt[4]{256})^{-2}=\frac{1}{16}(

4

256

)

−2

=

16

1

#Learn more

Simplify (256)^-(4^-3/2)

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