Solve the expression 15⋅8^0/5+4(7^0−6)

.(1 point)
15⋅8^0/5+4(7^0−6)=

1 answer

To solve the expression \( 15 \cdot 8^0 / 5 + 4(7^0 - 6) \), we will simplify it step by step.

  1. Evaluate \( 8^0 \) and \( 7^0 \):

    • Any non-zero number raised to the power of 0 is 1. Therefore:
      • \( 8^0 = 1 \)
      • \( 7^0 = 1 \)
  2. Substitute the values into the expression: \[ 15 \cdot 1 / 5 + 4(1 - 6) \]

  3. Simplify \( 15 \cdot 1 / 5 \): \[ 15 / 5 = 3 \]

  4. Simplify the second part \( 4(1 - 6) \): \[ 1 - 6 = -5 \] Now multiply by 4: \[ 4 \cdot (-5) = -20 \]

  5. Combine both parts: \[ 3 - 20 = -17 \]

Therefore, the value of the expression \( 15 \cdot 8^0 / 5 + 4(7^0 - 6) \) is \(\boxed{-17}\).