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[tex] \sqrt{2} ^{ \sqrt{7} } [/tex]use a calculator to find an approximation for each power. give the maximum number of decimal places that your calculator displaysround this value to ,7 decimal places,.

tex sqrt2 sqrt7 texuse a calculator to find an approximation for each power give the maximum number of decimal places that your calculator displaysround this va class=

Respuesta :

We are given the following expression

[tex]\sqrt[]{2}^{\sqrt[]{7}}[/tex]

Here the base is √2 and its power (exponent) is √7

The value of this expression can easily be calculated using any scientific calculator.

The maximum number of decimal places depends upon the type of calculator you use.

[tex]\sqrt[]{2}^{\sqrt[]{7}}=2.50164253682[/tex]

Let us round this value to 7 decimal places.

[tex]\sqrt[]{2}^{\sqrt[]{7}}=2.5016425[/tex]