Time remaining:
##### Does anyone have time for a lesson

label Mathematics
account_circle Unassigned
schedule 0 Hours
account_balance_wallet \$5

Need to understand bases, how they work and using them in multiplication and division.  I understand about 60% of it but need to examine my knowledge further.

Oct 17th, 2017

Bases are used in exponents .  So you have to know about properties of exponents .  They are given below:

1. a^0 = 1 2. a^x a^y = a^x+y  3.  a^x/a^y = a ^x-y  4.  (a^x) ^y = a ^xy  5. (ab)^x  = a^x b^x

6. (a/b)^x = a^x/b^x. 7. a^-x = 1/x

Example of property 2.   (2^2) (2^3) = 2 ^ 2+3 = 2^5 = 32

Example of property 2 and 7.   (2^2) (2^-3) 2 ^ 2-3 = 2^ -1 =1/2

Example of property 4 (3^2)^3 = 3^2(3) = 3^6 =729

Example of property 7 and 6. (1/3)^-2 = (3/1)^2 = 3^2/1^2 =9

Example of properties 3 and 7:    3^2/3^3 = 3^ 2-3 = 3^-1 = 1/3

Example property 5 :  (2^1/2) ( 3^1/2) = [(2) (3)] ^1/2 = 6^1/2 = square root (6)

Above guidelines will help you to understand bases. Practice examples and you will be comfortable working with bases in multiplications and divisions.

Nov 23rd, 2014

...
Oct 17th, 2017
...
Oct 17th, 2017
Oct 17th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle