Question

There are (4^2)^3 ⋅ 4^0 horses on a stud farm. What is the total number of horses on the farm?

Answer 1

@nnesha

Answer 2

when we multiply same bases we should `add` exponents \[\huge\rm x^m \times x^n=x^{m+n}\]

Answer 3

ohh forgot the exponent rule
\[\huge\rm (x^m)^n =x^{m \times n }\] first apply this

Answer 4

@nnesha so the answer is 4^6?

Answer 5

yes right!

Answer 6

@nnesha can
you help with one more?

Answer 7

i'll try

Answer 8

What is the value of 3 to the power 2 over 3 to the power 4?

Answer 9

and when we divide same base , `subtract` their exponents \[\huge\rm \frac{ x^m }{ x^n }=x^{m-n}\]

Answer 10

options are : 1/81, 1/27, 1/9, 1/3

Answer 11

for exxponents you should remember these exponent rules

Answer 12

right that would be 3^-2 but that's not an option

Answer 13

yes now we should convert negative to positive exponent \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\]

Answer 14

flip the fraction ) when u flip it the sign of the exponent would change

Answer 15

so the answer is 1/3??

Answer 16

what about the exponent ?

Answer 17

none of the options have exponents

Answer 18

oh well at the end we will not have the exponent ethr \[3^{-2} =???\]

Answer 19

im confused.. is the answer not 1/3/?

Answer 20

no

Answer 21

look at this exponent rule when i flipped the fraction i just changed the sign exponent would stay the same \[\huge\rm x^{-m}=\frac{ 1 }{ x^m }\]