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maria [59]
3 years ago
5

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

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
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.
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Answer:

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Step-by-step explanation:

An arc is simply a portion of the circumference of a circle.

To find the length of an arc, we simply need to apply the formula:

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where α = angle subtended by the arc = \frac{2\pi }{3} rads = \frac{2\pi }{3} * \frac{180}{\pi } degrees = 38.2°

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