+0

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

0
544
4

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

Guest Jan 22, 2015

#4
+94100
+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
#1
+20593
+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
+94100
+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