To solve the expression \( 15 \cdot 8^0 / 5 + 4(7^0 - 6) \), we will first evaluate the components step by step.
- 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:
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Substitute into the expression: \[ 15 \cdot 1 / 5 + 4(1 - 6) \]
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Simplify the expression:
- Calculate \( 15 \cdot 1 / 5 \): \[ 15 / 5 = 3 \]
- Calculate \( 1 - 6 \): \[ 1 - 6 = -5 \]
- Now substitute these values back: \[ 3 + 4(-5) \]
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Multiply: \[ 4 \cdot -5 = -20 \]
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Add together: \[ 3 - 20 = -17 \]
Thus, the final result of the expression \( 15 \cdot 8^0 / 5 + 4(7^0 - 6) \) is: \[ \boxed{-17} \]