Question

What is the value of (-0.4)^3

Answer 1

Answer:

-(2/5)^3 or -8/125 or -0.064

Step-by-step explanation:

convert the decimal into a fraction

then use your calculator to find the exact answer

Answer 2

Answer:

simplify 2/5

equation at the end of step 1:

(0-2/5)^3

step 2:

2.1

Negative number raised to an odd power is negative  

To show this we begin with (-7)5 ,a negative number raised to an odd exponent:

(-7)5 can be written as (-7)•(-7)•(-7)•(-7)•(-7)

Now, using the rule that says minus times minus is plus, (-7)5 can be written as (49)•(49)•(-7) which is a negative number.  

We showed that (-7)5 is a negative number  

Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 5 by any odd exponent, we proved which had to be proved

final result:-2^3/5^3=-0.06400