Question
What is the value of this expression: (-2)^3 x 3^0 x (-4) ^-2
Answers
GPT 3.5
To evaluate the expression, we follow the order of operations (PEMDAS/BODMAS).
First, let's evaluate (-2)^3. This means we multiply -2 by itself three times:
(-2)^3 = (-2) x (-2) x (-2) = -8.
Next, let's evaluate 3^0. Any number (except 0) raised to the power of 0 is equal to 1:
3^0 = 1.
Finally, let's evaluate (-4)^-2. This means we take the reciprocal of (-4) squared (which is equivalent to 1/((-4)^2)):
(-4)^-2 = 1/((-4)^2) = 1/16.
Now, let's substitute the values back into the original expression and calculate:
(-2)^3 x 3^0 x (-4)^-2 = -8 x 1 x 1/16 = -8/16 = -1/2.
Therefore, the value of the expression (-2)^3 x 3^0 x (-4)^-2 is -1/2.
First, let's evaluate (-2)^3. This means we multiply -2 by itself three times:
(-2)^3 = (-2) x (-2) x (-2) = -8.
Next, let's evaluate 3^0. Any number (except 0) raised to the power of 0 is equal to 1:
3^0 = 1.
Finally, let's evaluate (-4)^-2. This means we take the reciprocal of (-4) squared (which is equivalent to 1/((-4)^2)):
(-4)^-2 = 1/((-4)^2) = 1/16.
Now, let's substitute the values back into the original expression and calculate:
(-2)^3 x 3^0 x (-4)^-2 = -8 x 1 x 1/16 = -8/16 = -1/2.
Therefore, the value of the expression (-2)^3 x 3^0 x (-4)^-2 is -1/2.