help me solve and explain the following math problems please?

-5 ^ -3 = 1/-5 ^ 3

= 1/-125

What i wrote is:

negative 5 to the power of -3 is just the same as 1 over -5 to the power of 3.

If you don't understand how this is one of the index laws rules:

For example: x to the power of -2 = 1/x to the power of 2 in other words:

(x^-2) = 1/x^2

Keeping in mind that ^ means to the power of.

For the next one:

-2x^2/y^-5

Remember when it's a negative power you switch it over the fraction line and make it a positive negative.

So the answer is: -2x^2 + y^5/1 = -2x^2 + y^5

= 4xy^5

look on the perfect 2 coefficients interior the equation, ask your self, what numbers multiply to equivalent -5 and upload to equivalent 4? the answer is 5 and -a million: (5•-a million = -5 and 5 + -a million = 4) So now plug them into the x - r format: x^2 + 4x - 5 = (x - a million)(x + 5) = 0 now set each and each and every of the criteria equivalent to 0, remedy, and then you'll have your 2 solutions x - a million = 0 x = a million x + 5 = 0 x = -5

-5^-3 = -5 x -5 x -5 = +25 x -5

= -125

(-2x)^2 / (y^-5) =

4x^2 / y^5

-5^(-3) = -1/125

(-2x)^2 / y^-5 =

4x^2y^5

ok so cross out the negatives and youll get 5 to the 3rd....125

the next one is difficult

you can not have a negative in a fraction so you would change it from the top to the bottom if its the -2

so you would get .....x squared y to the 5th

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can i hav the best answer please