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

User Eran Shabi
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2 Answers

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Answer:

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 :)

User Adam Dingle
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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
User Ash McConnell
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6.1k points