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 need to evaluate each component step-by-step.

  1. Evaluate \( 8^0 \): \[ 8^0 = 1 \]

  2. Substitute \( 8^0 \) into the expression: \[ 15 \cdot 1 / 5 + 4(7^0 - 6) \]

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

  4. Now the expression is: \[ 3 + 4(7^0 - 6) \]

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

  6. Substitute \( 7^0 \) into the expression: \[ 3 + 4(1 - 6) \]

  7. Simplify \( 1 - 6 \): \[ 1 - 6 = -5 \]

  8. Now the expression is: \[ 3 + 4(-5) \]

  9. Evaluate \( 4(-5) \): \[ 4 \times -5 = -20 \]

  10. Now the expression is: \[ 3 - 20 \]

  11. Finally, perform the subtraction: \[ 3 - 20 = -17 \]

Thus, the value of the expression is: \[ \boxed{-17} \]