What is the simplified form of each expression?
1) 3g^-2b^2
A)3b^2/g^2
B)3g^2b^-2
C)3gb^-4***
D)b^2/3g^2
2) 3/g^-2h^3
A)3/g^2h^3***
B)3g^2/h^3
C)6g/h^3
D)3/gh
Are these correct? If not, please explain.
3 answers
Someone please help me???
3 g^-2 b^2
g^-2 = 1/g^2
so, the expressions is the same as
3b^2/g^2
1/g^-2 = 1/(1/g^2)) = g^2
Now we get into murky waters:
(3/g^-2)h^3 = 3g^2h^3 -- not a choice
3/(g^-2h^3) = 3g^2/h^3
because that is the same as
3 * 1/g^-2 * 1/h^3 = 3g^2/h^3
don't be afraid to use parentheses online, where text formatting is usually rudimentary
g^-2 = 1/g^2
so, the expressions is the same as
3b^2/g^2
1/g^-2 = 1/(1/g^2)) = g^2
Now we get into murky waters:
(3/g^-2)h^3 = 3g^2h^3 -- not a choice
3/(g^-2h^3) = 3g^2/h^3
because that is the same as
3 * 1/g^-2 * 1/h^3 = 3g^2/h^3
don't be afraid to use parentheses online, where text formatting is usually rudimentary
Ok, okay, thank you so much! (=