PSAT Math : Exponents
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Example Question #267 : Exponents
Simplify:
Now
Hence the correct answer is
Example Question #268 : Exponents
Solve for 
If we combine into a single logarithmic function we get:
Solving for 
Example Question #262 : Exponents
If 
The powers of i form a sequence that repeats every four terms.
i1 = i
i2 = -1
i3 = -i
i4 = 1
i5 = i
Thus:
i25 = i
i23 = -i
i21 = i
i19= -i
Now we can evalulate the expression.
i25 - i23 + i21 - i19 + i17..... + i
= i + (-1)(-i) + i + (-1)(i) ..... + i
= i + i + i + i + ..... + i
Each term reduces to +i. Since there are 13 terms in the expression, the final result is 13i.
Example Question #583 : Algebra
Express 0.000000076 in scientific notation.
Write the number:
Counting the number of places, move the decimal point to the right until it is after the first nonzero digit:
The resulting number is 7.6; the number of places the decimal point moved to the right was 8. In scientific notation, this number is 
Example Question #584 : Algebra
Express the square of 
Take advantage of the exponent rules.
Example Question #3 : How To Use Scientific Notation
The number 
Each of the answers to this question are in scientific notation. To determine the exponent on the 10, see how many places you need to move the decimal over to get from your original number to 2.79.
Because the decimal place moves 5 places, the exponent will be 5, and because the decimal moves to the RIGHT, the exponent is going to be negative.
So the answer to the quesiton is
Example Question #141 : Exponents
Put the following value in scientific notation:
Our first value for scientific notation should be between 
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