Question

Which expressions are equivalent to z to the 0.2 power

Answer 1

.2 is equal to 1/5

To its 1/5

Answer 2

For re-expressing the number, we first convert the decimal number 0.2 to a fractional number:

`z^(1/5)= \sqrt[5]{z}`

Explanation:

For re-expressing the number, we first convert the decimal number 0.2 to a fractional number:

n= 0.2

10n=2

n=2/10=1/5

Therefore we have

`z^(0.2) = z^(1/5)`

Then as we know that the denominator of fractional exponents can be expressed as a root:

`z^(1/5) = \sqrt[5]{z}`