Home > Algebra > Division of Rational Expressions

How do you find the quotient #g^4/2divg^3/(8d^2)#?

Answer 1

Abigail Allen

#4d^2g#

#"note when dividing fractions"#

#• a/b-:c/d=a/bxxd/c#

#rArrg^4/2-:(g^3)/(8d^2)#

#=g^4/2xx(8d^2)/(g^3)#

#"cancel common factors on numerator/denominator"#

#=(cancel(g^4)^g)/cancel(2)^1xx(cancel(8)^4d^2)/cancel(g^3)^1#

#=4d^2glarrcolor(red)"quotient"#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jace Anderson

To find the quotient of g^4/2 divided by g^3/(8d^2), we can simplify the expression by dividing the coefficients and subtracting the exponents of the variables.

First, divide the coefficients: 4/2 = 2.

Next, subtract the exponents of the variable g: 4 - 3 = 1.

Finally, subtract the exponents of the variable d: 0 - 2 = -2.

Therefore, the simplified quotient is 2g^1/d^2, or simply 2g/d^2.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.