Question

What is the value of y in this simplified expression?
k + m 10

Answer 1

Question 1:

For this case we have that by definition of properties of powers it is fulfilled that:

`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

So, if we have the following expression:

`(-j) ^ {- 7}`

We can rewrite it as:

`\frac {1} {(- j) ^ 7}`

So we have to:

`x = 7`

ANswer:

`x = 7`

Question 2:

For this case we have that by definition of properties of powers it is fulfilled that:

`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

If we have the following expression:

`k^(-5)+m^(-10)`

We can rewrite it as:

`\frac {1} {k ^ 5} + \frac {1} {m ^ {10}}`

So we have
`y = 5`

Answer:

`y = 5`

Answer 2

y=5

x=7

Explanation:

When given an expression in the form a⁻ᵇ the expression is the same as 1/aᵇ where a and b are integers.

Solving the question by giving the equivalents of the expression:

Therefore (-j)⁻⁷ is the same as 1/j⁷

The value of x=7

k⁻⁵+m⁻¹⁰=1/k⁵+1/m¹⁰

Therefore the value of y is 5.