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

Answer:

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

$z^{1/5}= \sqrt[5]{z}$

Step-by-step 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:

$z^{1/5} = \sqrt[5]{z}$