Question

What is the value of the expression (–5) -3?

1. Apply the negative exponents rule:    
1
(−5)3

2. Expand the power:          
1
(−5)(−5)(−5)

3. Simplify:               
1
x

What is the value of x?

x =

Answer 1

X = -125

I got 100%

Answer:

X = -125

Answer 2

The value of x is -125

Therefore x=-125

Explanation:

Given that the expression is
`(-5)^(-3)`

To solve the expression :

`(-5)^(-3)`

`=(1)/((-5)^3)` ( by using the property
`a^(-m)=(1)/(a^m)` )

`=(1)/((-5)* (-5)* (-5))` ( expanding the power )

Let
`x=(-5)* (-5)* (-5)`

`=(1)/(x)`

Now the value of x is
`x=(-5)* (-5)* (-5)`

`=-125`

Therefore x=-125

The value of x is -125