+0

# Why does -4^2 equal -16 and not +16?

0
281
4

Why does -4^2 equal -16 and not +16?

Guest Jan 22, 2015

#4
+91436
+5

Thank you Heureka and thankyou anons for voicing your concerns.

If you want to learn effectively you MUST speak up.

This is always a source of confusion.

Firstly

\$\$\\-4^2=-1*4^2=-1*16=-16\\
\$Where as \$\\
(-4)^2=-4*-4=+16\\\\
\$Now why is this so?\$\\
consider\\
50-3^2=50-9=41\\
\$ See how the minus sign DID NOT belong to the 3\$\\
\$If it did belong to the 3 then this would be how it had to be done\$\\\\
50+(-3)^2=50+9=59 = 50+3^2\\\\\$\$

Now I do not think that anyone would think    \$\$50+3^2\$\$     should equal   \$\$50-3^2\$\$

so the minus sign cannot belong to the 3

Melody  Jan 22, 2015
Sort:

#1
+18827
+5

Why does -4^2 equal -16 and not +16 ?

\$\$-4^2 = (-1)[(4)^2]=(-1)[16]=-16\\\\
(-4)^2 = [(-1)*(4)^2]=(-1)^2*(4)^2=1*16=16\\\$\$

heureka  Jan 22, 2015
#2
0

by the way -4^2 does = 16, not -16 because -4*-4=16. 2 negatives make a positive, duhhhh!!!! dont hit the minus, hit the negative

Guest Jan 22, 2015
#3
0

if it was -(4^2)=-16 it would be right but -4^2=16

Guest Jan 22, 2015
#4
+91436
+5

Thank you Heureka and thankyou anons for voicing your concerns.

If you want to learn effectively you MUST speak up.

This is always a source of confusion.

Firstly

\$\$\\-4^2=-1*4^2=-1*16=-16\\
\$Where as \$\\
(-4)^2=-4*-4=+16\\\\
\$Now why is this so?\$\\
consider\\
50-3^2=50-9=41\\
\$ See how the minus sign DID NOT belong to the 3\$\\
\$If it did belong to the 3 then this would be how it had to be done\$\\\\
50+(-3)^2=50+9=59 = 50+3^2\\\\\$\$

Now I do not think that anyone would think    \$\$50+3^2\$\$     should equal   \$\$50-3^2\$\$

so the minus sign cannot belong to the 3

Melody  Jan 22, 2015

### 24 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