Exponential functions
Zero and negative exponents
zero exponents
rule. any values except zero raised to the power of zero is equal to one. a^0=1
example of zero exponents
negative exponents
rule. any base raised to a negative exponent is equal to reciprocal of the base raised to the same positive exponent. a^-m= 1/a^m
negative exponent example
any fractional base raised to a negative exponent is equal to the reciprocal of the base raised to the same positive exponent.
Subtopic
product and quotient rules-product is multiplying or adding exponents while quotient is to divide or subtract exponents.
multiplying powers with the same base and without
example. 2^2*2^3= 2*2*2*2*2=2^5
example without the same base. 3^2*4^1=9*4=36
dividing powers with the same base
dividing powers with the same base
answer is 4^2 which=16
monomial-algebra expression consisting of one term
example- 3xy^2
another step by step example
rational exponents
rational number- number that can be expressed as the quotient of two integers (fraction) where the divisor is not zero
Subtopic
rational exponent
power and exponents
an expression that shows a base being multiplied by it self by the exponent number.
example
example of base, exponent and power
power of a power
when raising a power to another power the exponents get multiplied. (a^m)^n= a^m*n.
examples of power to a power
simple interstate's and compound interest.
Simple interest- the interest you earn is based only on the principal.
formula is. I=Prt
I is the simple interest
P- is the principal
r- is the annual rate of interest (decimal)
t- is the time in years
simple inters example
Compound interest- the interest you earn is based on the principal and the interest from the previous period.
compound interest example
formulas