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!