Home > Algebra > Exponential Properties Involving Quotients

How do you simplify #(c^4d^4f^3)/(c^2d^4f^3)#?

Answer 1

Ethan Adkins

The answer is #c^2#.

The first thing to take note is that you have several variables (namely, #c#, #d#. and #f#). Using the exponential law

#(a^n)/(a^m) = a^(n-m)#

we have

#[c^(4-2)][d^(4-4)][f^(3-3)]#

Further applying the law

#a^0 = 1#

the variables #f# and #d# are equivalent to #1#. As such, you are left with

#c^2 * 1 * 1#

which is equal to #c^2#.

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

Answer 2

Jace Anderson

To simplify (c^4d^4f^3)/(c^2d^4f^3), divide the coefficients and subtract the exponents of each variable: = c^(4-2) * d^(4-4) * f^(3-3) = c^2 * d^0 * f^0 = c^2 * 1 * 1 = c^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.