Math Snap

STEP 1

Assumptions1. We are evaluating the power of - raised to the8th power.
. The base is - and the exponent is8.

STEP 2

We can write the power as a multiplication of -2 by itself8 times.
$$(-2)^{8} = -2 \times -2 \times -2 \times -2 \times -2 \times -2 \times -2 \times -2$$

STEP 3

We know that the multiplication of two negative numbers gives a positive number. So, we can pair up the -2's and multiply them together.
$$(-2)^{8} = \times \times \times$$

Now, we can multiply these4's together to get the final answer.
$$(-2)^{8} =4 \times4 \times4 \times4 =256$$So, $(-2)^{8} =256$.