State whether -4^-2 and (-4)^-2 represent the same quantity. Explain.

A negative exponent just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. For instance, "x^-2" just means "x2, but underneath, as in 1/x^2.

-4^-2 means the power -2 is only applied to 4 and not the negative sign. -4^-2 = -(4^-2), which is equal to -1/16.

Whereas, (-4)^-2 means the power -2 affects on both negative sign and 4. For example, (-4)^2 is equal to (-4 * -4) which is just 16. Moving on, with (-4)^-2 equals to 1/(-4*-4) = 1/16.

//Hope this helps.

poojatomarb76 poojatomarb76 · Answer 2 · 2022-06-10T15:37:39+02:00

No,-4⁻² and (-4)⁻² does not represent the same quantity.The value of the both in these case will be same but for the other case will be different.

What exactly is an exponent?

Exponential notation is a type of mathematical shorthand that allows us to write complex formulas in a more concise manner.

The basis of an exponent is a number or letter. It denotes that the base will be raised to a given level of power. The base is X, and the power is n.

A negative exponent simply indicates that the base is on the incorrect side of the fraction line and must be flipped to the other side.

Assume two digits written as;

xy²

(xy)²

In above both case the final values will be different.

Hence,-4⁻² and (-4)⁻² does not represent the same quantity

To learn more about exponent refer;

https://brainly.com/question/5497425

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