+0

# What is this answer?

+1
138
3

32m *  3/4 m(Squared) ? ¬ –¬

Guest Jun 1, 2017

### Best Answer

#1
+1493
+1

There are two interpretations of this problem, and they both result in different answers, so I will address both. They are:

1. $$32m*\frac{3}{4}m^2$$
2. $$32m*(\frac{3m}{4})^2$$

I believe that you mean problem #1, but I'll solve both anyway. It's good practice:

 $$32m*\frac{3}{4}m^2$$ This is the original equation. To simplify, evaluate the coefficients and variables separately. I opted to deal with the variable first. We'll use this exponent rule: $$m^a*m^b=m^{a+b}$$ $$32m^3*\frac{3}{4}$$ Now, multiply 32 by 3/4 and simplify fully $$\frac{32m^3*3}{4}$$ Do 32*3 first $$\frac{96m^3}{4}$$ Do 96/4 $$24m^3$$ This is your answer for interpretation #1

Now, let's do interpretation #2:

 $$32m*(\frac{3m}{4})^2$$ This is the original equation in scenario #2. First, square 3m/4. Remember that $$(\frac{a}{b})^2=\frac{a^2}{b^2}$$ $$32m*\frac{(3m)^2}{4^2}$$ Simplify the numerator and denominator. $$\frac{32m}{1}*\frac{9m^2}{16}$$ Instead of doing 32*9, let's notice that 32 and 16 can be canceled out! This simplifies matters a lot! $$\frac{2m}{1}*\frac{9m^2}{1}={2m}*{9m^2}$$ Use the exponent rule that states that $$a^b*a^c=a^{b+c}$$ $$2m^3*9$$ Multiply 2*9, which is 18, of course $$18m^3$$ This is your final answer for interpretation #2.
TheXSquaredFactor  Jun 1, 2017
Sort:

### 3+0 Answers

#1
+1493
+1
Best Answer

There are two interpretations of this problem, and they both result in different answers, so I will address both. They are:

1. $$32m*\frac{3}{4}m^2$$
2. $$32m*(\frac{3m}{4})^2$$

I believe that you mean problem #1, but I'll solve both anyway. It's good practice:

 $$32m*\frac{3}{4}m^2$$ This is the original equation. To simplify, evaluate the coefficients and variables separately. I opted to deal with the variable first. We'll use this exponent rule: $$m^a*m^b=m^{a+b}$$ $$32m^3*\frac{3}{4}$$ Now, multiply 32 by 3/4 and simplify fully $$\frac{32m^3*3}{4}$$ Do 32*3 first $$\frac{96m^3}{4}$$ Do 96/4 $$24m^3$$ This is your answer for interpretation #1

Now, let's do interpretation #2:

 $$32m*(\frac{3m}{4})^2$$ This is the original equation in scenario #2. First, square 3m/4. Remember that $$(\frac{a}{b})^2=\frac{a^2}{b^2}$$ $$32m*\frac{(3m)^2}{4^2}$$ Simplify the numerator and denominator. $$\frac{32m}{1}*\frac{9m^2}{16}$$ Instead of doing 32*9, let's notice that 32 and 16 can be canceled out! This simplifies matters a lot! $$\frac{2m}{1}*\frac{9m^2}{1}={2m}*{9m^2}$$ Use the exponent rule that states that $$a^b*a^c=a^{b+c}$$ $$2m^3*9$$ Multiply 2*9, which is 18, of course $$18m^3$$ This is your final answer for interpretation #2.
TheXSquaredFactor  Jun 1, 2017
#2
+421
+1

Yeah!

AsadRehman  Jun 1, 2017
#3
0

[Question Publisher] Thank you so much I now under stand!

Guest Jun 1, 2017

### 14 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