Evaluate: (-1)^25 (-2)^3
well, the negative one to an odd power is negative one. -2 cubed is -8. What is negative one times negative eight>?
To evaluate (-1)^25 (-2)^3, we need to calculate each factor separately.
First, let's calculate (-1)^25. When a negative number is raised to an odd power, it remains negative. So, (-1)^25 is equal to -1.
Next, let's calculate (-2)^3. To calculate a negative number raised to an even power, we need to calculate the absolute value of the number to the power and then multiply by 1 if the exponent is even or by -1 if the exponent is odd. So, the absolute value of (-2)^3 is 2^3 = 8. Since the exponent (3) is odd, we multiply 8 by -1, which gives -8.
Now, we need to multiply -1 by -8. The product of two negative numbers is positive, so -1 multiplied by -8 is 8.
Therefore, the value of (-1)^25 (-2)^3 is 8.