Simplify: (-9r^(2)s^(6)t^(4))/(54r^(5)s^(2)t^(8))

Simplify Coefficients and Variables: Simplify the coefficients and variables separately. (-9)/(54) = -1/6, r^(2)/r^(5) = r^(-3) = 1/r^3, s^(6)/s^(2) = s^(4), t^(4)/t^(8) = t^(-4) = 1/t^4.Combine Simplified Parts: Combine the simplified parts. (-1/6)(1/r^3)(s^4)(1/t^4) = -s^4/(6r^3t^4).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify: (-9r^(2)s^(6)t^(4))/(54r^(5)s^(2)t^(8))

Simplify: $\frac{-9r^{2}s^{6}t^{4}}{54r^{5}s^{2}t^{8}}$

View step-by-step help

Home

Math Problems

Calculus

Find derivatives of using multiple formulae

Full solution

Q. Simplify:

\frac{-9r^{2}s^{6}t^{4}}{54r^{5}s^{2}t^{8}}

Simplify Coefficients and Variables: Simplify the coefficients and variables separately. $\frac{-9}{54} = -\frac{1}{6}$ , $\frac{r^{2}}{r^{5}} = r^{-3} = \frac{1}{r^3}$ , $\frac{s^{6}}{s^{2}} = s^{4}$ , $\frac{t^{4}}{t^{8}} = t^{-4} = \frac{1}{t^4}$ .
Combine Simplified Parts: Combine the simplified parts. $\newline$ $(-\frac{1}{6})(\frac{1}{r^3})(s^4)(\frac{1}{t^4}) = -\frac{s^4}{6r^3t^4}$ .