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Luv2Teach
The rule for negative exponents is that if the exponent is negative to begin with, in order to make it negative, you put it into the denominator of a fraction, and raise it to whatever the power is.  To go from positive exponents (those that are already in the denominator), move it up to the numerator and make the exponent negative. So your solution would be 5x^-2

Answer:  The given expression can be rewritten using negative exponent as [tex]5x^{-2}.[/tex]

Step-by-step explanation:  We are given to rewrite the following expression using negative exponent :

[tex]E=\dfrac{5}{x^2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following property of exponents :

[tex]\dfrac{1}{x^a}=x^{-a}.[/tex]

So, from (i), we get

[tex]E=\dfrac{5}{x^2}=5\times x^-2=5x^{-2}.[/tex]

Thus, the given expression can be rewritten using negative exponent as [tex]5x^{-2}.[/tex]

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