Solve the expression 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 first evaluate the components step by step.

  1. Evaluate powers:
    • \( 8^0 = 1 \) (any non-zero number raised to the power of 0 is 1)
    • \( 7^0 = 1 \) (similarly, any non-zero number raised to the power of 0 is also 1)

Now substituting these values back into the expression:

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

  2. Simplify the expression:

    • Calculate \( 15 \cdot 1 / 5 \): \[ 15 / 5 = 3 \]
    • Calculate \( 1 - 6 \): \[ 1 - 6 = -5 \]
    • Now substitute these values back: \[ 3 + 4(-5) \]
  3. Multiply: \[ 4 \cdot -5 = -20 \]

  4. Add together: \[ 3 - 20 = -17 \]

Thus, the final result of the expression \( 15 \cdot 8^0 / 5 + 4(7^0 - 6) \) is: \[ \boxed{-17} \]