Question

Select several fractions between 0 and 1. Find the value of each fraction after it is raised to the -1 power. Explain the relationship between the -1 power and the original fraction.

Answer 1

Answer:

see the explanation

Step-by-step explanation:

we know that

if you have a fraction that is raised to a negative exponent, simply flip the fraction to write a positive exponent

so

$(\frac{a}{b})^{-x} =(\frac{b}{a})^{x}$

If the exponent is -1

then

$(\frac{a}{b})^{-1} =(\frac{b}{a})^{1}=\frac{b}{a}$ ----> is the reciprocal of the original fraction

Examples

$\frac{3}{8}$

$(\frac{3}{8})^{-1} =\frac{8}{3}$

$\frac{1}{4}$

$(\frac{1}{4})^{-1} =\frac{4}{1}=4$

$\frac{1}{6}$

$(\frac{1}{6})^{-1} =\frac{6}{1}=6$