math,correction

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can somone correct these for me please...

Simplify (m^5)^8

My answer.m^40

List the terms and coefficients of

8x^3-4x^2+3

My answer: terms: 3
coefficients: 8,-4

This next one i'm not sure about how to even do it...

write 9.03 X 10^-2 in standard notation.

standard notation? .0903

The others are correct.

can you explain how you came about the standard notation...how do you detemine it...i really like to learn it...when you get a chance..thanks for all your help.

Also my question is for this next one...

Write using positive exponents only

b^-2

can you explain it to me please.

10^1 = 10
10^0 = 1
10^-1 = .1 or 1/10
10^-2 = .01 or 1/100

Thus 9.03 x 10^-2 = 9.03 x .01 = .0903

The term with the negative exponent is equal to its reciprocal with a positive exponent. Thus

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

I hope this helps. Thanks for asking.

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