Question

help please

Answer 1

\[Explain why (-3)^{2\neq}-3^{2}, but (-2)^{3}=-2^{3}\]

Answer 2

It's my daughters homework I just don't know how to explain it lol

Answer 3

the exponent tells us how many times we should multiply the base by itself

Answer 4

\[\rm (-x)^2\] exponent to the -x not just x
which can be written as -x times - x =+x
- times - = positive

Answer 5

-x^2 means just x to the 2 power not the sign
\[\rm -x^2 \rightarrow -1x^2 = -1*x*x\]
negative times positive = negative

Answer 6

\[\rm \color{ReD}{(-1x)^2}= -1x*-1x = 1x\]
vs \[\rm -1x^2 = -1x*1x\]
x is same as 1x ( #1 is invisible )

Answer 7

make sense ?

Answer 8

I don't understand what she would write still lol

Answer 9

when you take `even` power of a negative number you will get positive answer
\[\rm (-4)^4 = positive \]bec
(-4)^4= -4 times -4 times -4 times -4 = positive
and when you take odd power of a negative number you will get negative answer \[\rm (-4)^3= negative \] -4 times -4 times -4= negative

Answer 10

OK...

Answer 11

\[a \times a \times a = a ^{3}\]
\[(-3)^{2 } =(-3) \times (-3) = 3^{2}\]

Answer 12

\[(-2) \times (-2) \times (-2) = - [2 \times 2 \times 2]= - 2^{3}\]