Which of the following is the equivalent expression to 15^-3 . 4^7^0

1 answer

To find the equivalent expression to \( 15^{-3} \cdot 4^{7^0} \), we can simplify each component step by step.

  1. Evaluate \( 7^0 \): \[ 7^0 = 1 \]

  2. Substitute \( 7^0 \) into the expression: \[ 4^{7^0} = 4^1 = 4 \]

  3. Combining these results: \[ 15^{-3} \cdot 4^1 = 15^{-3} \cdot 4 \]

Thus, the equivalent expression is: \[ 4 \cdot 15^{-3} \]