The expression (-3)^4 is equivalent to -(3 x 3 x 3 x 3), so the correct answer is:
A) -(3 x 3 x 3 x 3)
(-3)^4
A -(3x3x3x3
B -4x-4x-4
C -3x-3x-3x-3
D -(4x4x4
A) -(3 x 3 x 3 x 3)
The power rule states that when you have an exponent raised to another exponent, you multiply the exponents together. In this case, we have (-3) raised to the 4th power.
To evaluate (-3)^4, we need to multiply -3 by itself four times.
So, (-3)^4 can be calculated as (-3) x (-3) x (-3) x (-3).
Now, let's compare the given options:
A) -(3 x 3 x 3 x 3): This expression is not equivalent because it is missing the negative sign.
B) -4 x -4 x -4: This expression is not equivalent because it uses the number 4 instead of -3.
C) -3 x -3 x -3 x -3: This expression is equivalent to (-3)^4. It correctly multiplies -3 by itself four times.
D) -(4 x 4 x 4): This expression is not equivalent because it uses the number 4 instead of -3 and is also missing the fourth multiplication.
Therefore, the answer is option C: -3 x -3 x -3 x -3, which is equivalent to (-3)^4.