Question

Keeping the properties of exponents in mind, to what power must you raise the expression 7 1/2 to get 7 as a result

Answer 1

Raise the expression to the power 2

Explanation:

Using the power to a power property of exponents, (am)n = amn

`(7^{(1)/(2) } )^(2) = 7^{(1)/(2) } *2\\7x^(1)=7`

This is the answer given on plato :)

Answer 2

For this case we have the following expression:

`7 ^ {(1/2)}`
Rewriting the expression we have:

`(7 ^ {(1/2)}) ^ x`
Where,
x: exponent to which we must raise the expression to obtain 7 as a result.
We have then:

`7 ^ {((1/2) x)}`
The exponent must be equal to 1:

`(1/2) x = 1`
Clearing x we have:

`x = 2`
Substituting valres:

`7 ^ {((1/2) 2)} 7 ^ 1 7`
Answer:
you must raise the expression to 2