If you simplify x^2 / x^5, what is the result?

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Study for the 8th Grade Mathematics Test. Prepare with multiple choice questions, each with hints and explanations. Get ready for your exam!

Multiple Choice

If you simplify x^2 / x^5, what is the result?

Explanation:
The key idea is how exponents behave when you divide like bases: you subtract the exponents. For x^2 divided by x^5, you do 2 − 5 = −3, so the result is x^(−3). A negative exponent means the reciprocal, so x^(−3) = 1/x^3. Remember, x cannot be zero because it’s in the denominator.

The key idea is how exponents behave when you divide like bases: you subtract the exponents. For x^2 divided by x^5, you do 2 − 5 = −3, so the result is x^(−3). A negative exponent means the reciprocal, so x^(−3) = 1/x^3. Remember, x cannot be zero because it’s in the denominator.

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