Question

`√(2) ^( √(7) )`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,.

Answer 1

We are given the following expression

`\sqrt[]{2}^{\sqrt[]{7}}`

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.

`\sqrt[]{2}^{\sqrt[]{7}}=2.50164253682`

Let us round this value to 7 decimal places.

`\sqrt[]{2}^{\sqrt[]{7}}=2.5016425`