カテゴリー 全て - examples - interest - formulas - exponents

によって Mya Morgan - Sandalwood Heights SS (2442) 4年前.

690

Exponential functions

The text discusses various mathematical concepts related to exponents and powers. It explains that when raising a power to another power, the exponents are multiplied, illustrated by the formula (

Exponential functions

Exponential functions

simple interstate's and compound interest.

formulas
Compound interest- the interest you earn is based on the principal and the interest from the previous period.
compound interest example
Simple interest- the interest you earn is based only on the principal.
simple inters example
formula is. I=Prt

t- is the time in years

r- is the annual rate of interest (decimal)

P- is the principal

I is the simple interest

power of a power

examples of power to a power
when raising a power to another power the exponents get multiplied. (a^m)^n= a^m*n.

power and exponents

example of base, exponent and power
example
an expression that shows a base being multiplied by it self by the exponent number.

rational exponents

rational exponent
rational number- number that can be expressed as the quotient of two integers (fraction) where the divisor is not zero

monomial-algebra expression consisting of one term

another step by step example
example- 3xy^2

product and quotient rules-product is multiplying or adding exponents while quotient is to divide or subtract exponents.

dividing powers with the same base

answer is 4^2 which=16

multiplying powers with the same base and without
example without the same base. 3^2*4^1=9*4=36
example. 2^2*2^3= 2*2*2*2*2=2^5

Zero and negative exponents

negative exponents
any fractional base raised to a negative exponent is equal to the reciprocal of the base raised to the same positive exponent.

Subtopic

negative exponent example
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
zero exponents
example of zero exponents
rule. any values except zero raised to the power of zero is equal to one. a^0=1