Exponents and negative numbers?

I take delivery of wolfram alpha will interpret -4^2 as -(4^2) however in case you typed four into a calculator and hit the +/- button then hit the x^2 button you'll get the postive influence. I feel those who suppose -4^2 = -16 are considering of the - signal as -1 * (number) and applying PEDMAS or BIDMAS priorities in the squaring the number first then multiplying the outcomes via -1. Whereas I see a bad number as a number in its own proper so i'd interpret -4^2 as x^2 where x = -four. This is additionally backed up through the fact that there are two solutions to x^2 = n specifically ±√n. I might be grateful if anybody with more maths than me be aware of of an authentic ruling someplace where this ambiguity is cleared up and might cite a significant source however except i'm exposed to such authorititive ruling i'll go together with what makes most feel to me and that is a terrible quantity will not be -1 * constructive number but that a poor number is in its possess proper an element of the actual number set, for this reason -2^2 = four and not -four.

2 * 4^-2

2 * 1/(4^2)

2 * 1/16

which is: 2/16

simplifying: (2/2) / (16/2)

so the answer is

1/8

4^2 = 16

4^(-2) = 1/4^2 = 1/16

Edit: How can 4^(-2) = 4^2 & 16 = 1/16, that is completely wrong people! pay attention to what you write please.

1/8 is right

Your method IS CORRECT.

But when you multiply a fraction by 2 you only multiply the NUMERATOR by 2

NOT both the numeratoe AND denominator.

Mathcerely,

Robert Jones.......Master in Mathematics (Un of Notre Dame)

"Teacher of Fine Students"

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