Question

Simplify each expression for x=4 -5x^-4

Answer 1

-5/256 or -0.019

Explanation:

Answer 2

↠ Answer:

`-\cfrac{5}{256}}`

↠ Step-by-step explanation:

We're asked to evaluate the following expression for x = -4.

→
`\sf{-5x^(-4)}`

Substitute 4 for x.

→
`-\sf{5(4)^(-4)}`

Evaluate the exponents first. Remember, a number raised to a negative exponent is that number flopped over; this can be illustrated in the following exponent property:

⇒
`\bf{x^(-m)}=\cfrac{1}{x^m}}`

Similarly,

→
`-\sf{5*\cfrac{1}{4^4}}`

Now, simplify :

→
`\sf{-5*\cfrac{1}{256}}`

→
`-\sf{\cfrac{5}{1}*\cfrac{1}{256}}`

→
`-\sf{\cfrac{5}{256}}`