Which expression is equivalent to the exponential expression

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)

The expression (-3)^4 is equivalent to option D -(4x4x4).

To find the expression equivalent to the exponential expression (-3)^4, we need to evaluate the expression using the power rule for exponents.

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.