Home > Algebra > Exponential Properties Involving Quotients

How do you simplify #(20x^24)/(10x^6)#?

Answer 1

Ethan Adkins

#color(blue)(2x^18#

#(20x^24)/(10x^6)#

#rarr(cancel20x^24)/(cancel10x^6)=#

#rarr(2x^24)/x^6#

Remember the formula #a^x/a^y=a^(x-y)#

#rarr(2x^cancel(24))/x^cancel(6)=#

#rarr2x^18#

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

Answer 2

Jameson Allen

To simplify ( \frac{20x^{24}}{10x^6} ), divide the coefficients and subtract the exponents with the same base:

[ \frac{20x^{24}}{10x^6} = \frac{20}{10} \times \frac{x^{24}}{x^6} = 2 \times x^{24-6} = 2x^{18} ]

So, ( \frac{20x^{24}}{10x^6} ) simplifies to ( 2x^{18} ).

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.