# Exponents and Roots

## Exam Prep Study Notes (Things to remember)

 Exponent An exponent is the power or total number of times a given number or expression can be raised, and is often expressed as a raised symbol to the right side of the number or expression. E.g. x2, where 2 is exponent Multiplying exponents When multiplying like bases, you must add the exponents. e,g xa * xb = xa+b ...... ......

### Tips

 Raise an exponent to another power To raise an exponent to another power, multiply the exponents. e.g. (xa)b = xab ...... ......

### Periodic compounding

The total accumulated value, including the principal sum plus compounded interest , is given by the formula: where:

P is the original principal sum
P' is the new principal sum
r is the nominal annual interest rate
n is the compounding frequency
t is the overall length of time the interest is applied (expressed using the same time units as r, usually years).

### Logarithmic formulae

 logb(1) = 0 logb(b) = 1 ................

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