Which of the following is the equivalent expression to (15(−3) ⋅ 4(7))(0)4(−3)

Question

that has been generated by applying the Properties of Integer Exponents?(1 point)
Responses

64
64

164
Start Fraction 1 over 64 end fraction

604−3
Start Fraction 60 over 4 negative cubed end fraction

1⋅ 4(−3)

Answer 1

To simplify the expression \((15(-3) \cdot 4(7))(0)4(-3)\), we start by evaluating each part.

1. Understanding the expression:

   • We have \(15(-3)\) which is constant and equals \(-45\).
   • We have \(4(7)\) which equals \(4^7\).
   • The term \((0)4(-3)\) essentially becomes \(0\), since anything multiplied by zero equals zero.

2. Recognizing the effect of zero:

   • Since the expression contains a multiplication by zero, the entire expression simplifies to \(0\):

   \[ (15(-3) \cdot 4(7))(0)4(-3) = 0 \]

Since the whole expression equals zero, none of the provided options (64, \( \frac{1}{64} \), \( \frac{60}{4^{-3}} \), \( 1 \cdot 4^{-3} \)) can be correct as they are non-zero.

The final simplified expression results in zero, which does not match any of the given answers. Therefore, there is no equivalent expression among the provided options, and the correct answer should be zero.