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.

To convert a number in scientific notation to standard notation, you need to move the decimal point to the right or left based on the exponent value.

For example, let's take 9.03 x 10^-2.

Since the exponent is negative, we need to move the decimal point to the left. The absolute value of the exponent gives us the number of places to shift the decimal point.

In this case, the exponent is -2, so we move the decimal two places to the left:

9.03 x 10^-2 = 0.0903

So the standard notation for 9.03 x 10^-2 is 0.0903.

Now, for the term with negative exponent, b^-2, we can rewrite it using positive exponents. The rule here is that any term with a negative exponent can be written as its reciprocal with a positive exponent.

In this case, b^-2 can be written as (1/b)^2.

So, b^-2 = (1/b)^2.

This means that b raised to the power of -2 is equivalent to the reciprocal of b raised to the power of 2.

I hope this explanation clarifies the concepts for you. Let me know if there's anything else I can assist you with!