1. ## simplying indices

$\displaystyle (4y^3)^3 \div 2y^3$

$\displaystyle 4y^9 \div 2y^3$

$\displaystyle 4 \div 2 = 2$ $\displaystyle y^9 \div y^3 = y^6$

$\displaystyle 2y^6$

is this working right? Because my book says the correct answer is $\displaystyle 32y^6$ and I dont understand were 32 came from ?

2. is this working right? Because my book says the correct answer is and I dont understand were 32 came from ?
hi
you forgot to make 4^3=64 also

3. Originally Posted by Tweety
$\displaystyle (4y^3)^3 \div 2y^3$

$\displaystyle 4y^9 \div 2y^3$

$\displaystyle 4 \div 2 = 2$ $\displaystyle y^9 \div y^3 = y^6$

$\displaystyle 2y^6$

is this working right? Because my book says the correct answer is $\displaystyle 32y^6$ and I dont understand were 32 came from ?
Note that $\displaystyle \left(4y^3\right)^3=4^3y^3=\dots$

4. Originally Posted by ursa
hi
you forgot to make 4^3=64 also
Hi thanks for answering but I was just wondering why in this expression $\displaystyle (3x^2)^3 \div x^4$ the number 3 is not 3^3 , ?

as the correct answer for this is $\displaystyle 3x^2$ so how comes 4 has to be raised to the third power in the expression above?

5. the answer is wrong as it should be 3^3.