Question

Write the expression in exponential form.

`√(10)`
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Answer 1

Answer: 10^(1/2)

When we use an exponent of 1/2, it is the same as a square root. The more general rule is

`√(x) = x^(1/2)`

In this case, we plug in x = 10.

The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because

`\sqrt[3]{x} = x^(1/3)`

Many calculators don't have a button labeled
`\sqrt[3]{}` but they have the button
`x^y` to allow fractional exponents.