Question

to What power -2 to be raised to get 16

Answer 1

-2 raised to the power 4
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Answer 2

$<b>In exponential form we can express 16 in terms of - 2 very easily.<b>$

Let the required exponent i.e. power be x

So,

(- 2)^x = 16
(- 2)^x = (- 2)^4

Now as the bases of LHS and RHS are equal so their exponents will be equal as well.

The exponent on LHS = The exponent of RHS
x = 4

So
(- 2)^4 = 16

- 2 must be raised to the power 4 to get 16.