rosala

here im doing the fifth one ;

5a)5.4*10⁷

=54000000.0

this is becoz 10 has the power of 7 and so there are 7 zeroes added  and becoz after the point theres one digit so in the answer also theres one digit and remember the digits are counted from back and the point is also put at the end ! 

d)7.162*10³

=7162.000

now i hope u might have understood why the point is after 3 digits becoz there are 3 digits behind the point in the q. !

i am not doing the others as i want u to try them and see ! ive done 2 of different types !

thanks alan ! 

im sorry ! cant see the question properly ! why dont u just click the part that has to be answered ?

sorry ur image is too big so its not fitting ! cant see f . why dont u just click an image of f only !

thanks melody !

thanks alan

here are the simple examples of the basic rules that alan showed ! these may help u understand the examples and are done separately not in the sum !

here we go !

1.a) a³ b⁵  x  a²b²

the rule to solve this is x^a * x^b = x^a+b 

ANS = a3 b5 x a2 b2

=a³⁺² b⁵⁺²

=a⁵b^{7   = ANS}

if there isnt any power on either of the variables then u dont plus anything for eg. n*n=n² !

or if there is on one and not on the other then ull do like this eg. n⁷ x n = n⁸

the answer came n⁸ becoz there was no power on the other n so we assume it as one and so 7+1 = 8 !

c)p⁴q⁶/p³q⁹

rule= x^a / x^b

=x^a-b

so ANS =p⁴q⁶/p³q⁹

=p^4-3 q^6-9

=p¹q³   = ANS

and so if there no power on any variable then use the same thing i told u before but remember it has to be - in place of + , thats obvio !

this is the third rule (x^a )^b

=x^a*b 

an eg not from ur pic but = (b⁵)²

= b^5*2

=b¹⁰

so these are the rules , use them to solve the problems ! BEST OF LUCK for the exam ! 

i think its 1/16 alan 

one fourth divided by four = 1/4 divide 4

reciprocate = 1/4 * 1/4 

= 1/16 is the answer

ur most welcome !