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