What does it mean when you say "to the 4th power" ? It means
(the number) x (the number) x (the number) x (the number) .
OK. In your example, "the number" is -2 . So go to work . . .
(-2) x (-2) x (-2) x (-2) = what ?
Work with it for a minute or two. You should get ( positive 16 ).
An exponent is saying to take the base number (here, it's -2), and multiply it my itself that number of times.
So, (-2)⁴ = (-2) * (-2) * (-2) * (-2) = 4 * (-2) * (-2) = -8 * (-2) = 16
If the negative sign were outside the parentheses instead, then the solution would be 2⁴ (which is 16), then negative (so, -16). But in the this case the negative is inside the parentheses.
Hope this helps! :)
To evaluate ( − 2 ) 4 , you multiply − 2 by itself four times. This results in ( − 2 ) × ( − 2 ) × ( − 2 ) × ( − 2 ) = 16 . Therefore, ( − 2 ) 4 = 16 .
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