+1090 $$\left({\mathtt{\,-\,}}{{\mathtt{3}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{4}}}^{{\mathtt{2}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{{\mathtt{3}}}^{{\mathtt{2}}}}{{\mathtt{3}}}}\right)$$
Site calculator (and the answer key) say the answer is: $$\left({\mathtt{\,-\,}}{{\mathtt{3}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{4}}}^{{\mathtt{2}}}\right){\mathtt{\,\small\textbf+\,}}\left({\frac{{{\mathtt{3}}}^{{\mathtt{2}}}}{{\mathtt{3}}}}\right) = {\mathtt{10}}$$
I got 28...
I'd assume it's the negative applying after the exponent of 3, but why?
+118673 Hi Mathematician,
$$(-3^2+4^2)+(\frac{3^2}{3})\\
=(\textcolor[rgb]{1,0,0}{-1}*3^2+4^2)+(\frac{3^2}{3})\\
=(\textcolor[rgb]{1,0,0}{-1}*9+16)+3\\
=-9+16+3\\
=10$$
+129852 (-32 + 42) + (32 / 3)
(- 9 + 16) + (9 / 3)
( 7 ) + ( 3)
10
I suspect that you evaluated -32 as (-3)2 .....remember...the first is -9, but the second is +9
+1090 So if it's negative, it needs parenthesis; otherwise the negative applies afterword.
+118673 that's correct and it makes more sense if you see it in a different context.
eg
$$12-5^2=12-25=-13$$
you would never think of saying that this is 12+25 would you?
+129852 Mathematician.....
-an means that the exponent only applies to the "a"...not to the "understood" -1 in front
But (-a)n means that the exponent applies to everything in the parentheses....
Does that help???....students are often confused about this.....!!!
+1090 Forunately, I'm learning this before I make mistakes with it in class, so I'm better prepared (we haven't gone over how negatives work in this sense; now I'll be sure to remember it.) Thank you.
