+0

# algebraic expression with exponents questions

0
112
2

(-2x-2)3(6x)2

__________

2(-3x-1)3

hi,

can someone tell me how to do simplify that expression up there? ive been trying it for an hour to no avail.

this is from grade 11 functions, by the way.

thank you!

Guest Mar 28, 2017
Sort:

#1
+1

(-23x-6)(36x2)/(2(-33x-3)=

(-8x-6)(36x2)/(-54x-3)=

(-8)(36x2)(x3)/-54x6=

-288x5/-54x6=

-288/-54x=

16/3x

not totally sure. I wouldn't trust this to be right.

Guest Mar 28, 2017
edited by Guest  Mar 28, 2017
#2
+4747
+3

First you could call this "distributing" the exponent, not sure what the real name is for this step.

$$\frac{(-2x^{-2})^3(6x)^2}{2(-3x^{-1})^3}=\frac{(-2^3x^{-2*3})(6^2x^2)}{2(-3^3x^{-1*3})}=\frac{(-8x^{-6})(36x^2)}{2(-27x^{-3})}$$

Now all terms with negative exponents in the numerator go to the denominator and lose the negative sign and vice versa.

$$\frac{(-8x^3)(36x^2)}{2x^6(-27)}$$

Now multiply the things in the numerator and the things in the denominator together.

$$\frac{-288x^{3+2}}{-54x^6}=\frac{-288x^{5}}{-54x^6}$$

Now reduce the fraction by 18x5

$$\frac{-288x^{5}}{-54x^6}=\frac{16}{3x^{6-5}}=\frac{16}{3x}$$

Same as guest.

hectictar  Mar 28, 2017
edited by hectictar  Mar 28, 2017
edited by hectictar  Mar 28, 2017

### 10 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details