Subjects algebra

Power Expression 929B52

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1. **State the problem:** Calculate the value of the expression $$10^4 - 10^3 + 10^0$$. 2. **Recall the powers of 10:** - $$10^4 = 10000$$ - $$10^3 = 1000$$ - $$10^0 = 1$$ (any nonzero number to the power of zero is 1) 3. **Substitute these values into the expression:** $$10000 - 1000 + 1$$ 4. **Perform the subtraction and addition step-by-step:** - First, subtract: $$10000 - 1000 = 9000$$ - Then add: $$9000 + 1 = 9001$$ 5. **Final answer:** $$\boxed{9001}$$ This means the value of the expression $$10^4 - 10^3 + 10^0$$ is 9001.