计算以下整数指数表达式: 3², (-9)³, (-2)⁰, 10⁴, (-5)², (-8)², 9³, (-9)⁰, (-4)³, 3², 8, 8², 7³, (-6)³, (-3)³, (-4)³, (-7)³, 4³, 8³, (-1)²
Understand the Problem
这问题是在问你计算各种整数的指数表达式。例如 3²，(-9)³ 等。你需要一步一步地计算这些表达式，并给出答案。
Answer
$3^2 = 9$ $(-9)^3 = -729$ $(-2)^0 = 1$ $10^4 = 10000$ $(-5)^2 = 25$ $(-8)^2 = 64$ $9^3 = 729$ $(-9)^0 = 1$ $(-4)^3 = -64$ $3^2 = 9$ $8 = 8$ $8^2 = 64$ $7^3 = 343$ $(-6)^3 = -216$ $(-3)^3 = -27$ $(-4)^3 = -64$ $(-7)^3 = -343$ $4^3 = 64$ $8^3 = 512$ $(-1)^2 = 1$
Answer for screen readers
$3^2 = 9$ $(-9)^3 = -729$ $(-2)^0 = 1$ $10^4 = 10000$ $(-5)^2 = 25$ $(-8)^2 = 64$ $9^3 = 729$ $(-9)^0 = 1$ $(-4)^3 = -64$ $3^2 = 9$ $8 = 8$ $8^2 = 64$ $7^3 = 343$ $(-6)^3 = -216$ $(-3)^3 = -27$ $(-4)^3 = -64$ $(-7)^3 = -343$ $4^3 = 64$ $8^3 = 512$ $(-1)^2 = 1$
Steps to Solve
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Calculate $3^2$ $3^2 = 3 \times 3 = 9$
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Calculate $(-9)^3$ $(-9)^3 = (-9) \times (-9) \times (-9) = -729$
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Calculate $(-2)^0$ Any non-zero number raised to the power of 0 is 1. $(-2)^0 = 1$
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Calculate $10^4$ $10^4 = 10 \times 10 \times 10 \times 10 = 10000$
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Calculate $(-5)^2$ $(-5)^2 = (-5) \times (-5) = 25$
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Calculate $(-8)^2$ $(-8)^2 = (-8) \times (-8) = 64$
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Calculate $9^3$ $9^3 = 9 \times 9 \times 9 = 729$
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Calculate $(-9)^0$ Any non-zero number raised to the power of 0 is 1. $(-9)^0 = 1$
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Calculate $(-4)^3$ $(-4)^3 = (-4) \times (-4) \times (-4) = -64$
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Calculate $3^2$ $3^2 = 3 \times 3 = 9$
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Calculate $8^1$ $8 = 8$
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Calculate $8^2$ $8^2 = 8 \times 8 = 64$
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Calculate $7^3$ $7^3 = 7 \times 7 \times 7 = 343$
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Calculate $(-6)^3$ $(-6)^3 = (-6) \times (-6) \times (-6) = -216$
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Calculate $(-3)^3$ $(-3)^3 = (-3) \times (-3) \times (-3) = -27$
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Calculate $(-4)^3$ $(-4)^3 = (-4) \times (-4) \times (-4) = -64$
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Calculate $(-7)^3$ $(-7)^3 = (-7) \times (-7) \times (-7) = -343$
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Calculate $4^3$ $4^3 = 4 \times 4 \times 4 = 64$
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Calculate $8^3$ $8^3 = 8 \times 8 \times 8 = 512$
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Calculate $(-1)^2$ $(-1)^2 = (-1) \times (-1) = 1$
$3^2 = 9$ $(-9)^3 = -729$ $(-2)^0 = 1$ $10^4 = 10000$ $(-5)^2 = 25$ $(-8)^2 = 64$ $9^3 = 729$ $(-9)^0 = 1$ $(-4)^3 = -64$ $3^2 = 9$ $8 = 8$ $8^2 = 64$ $7^3 = 343$ $(-6)^3 = -216$ $(-3)^3 = -27$ $(-4)^3 = -64$ $(-7)^3 = -343$ $4^3 = 64$ $8^3 = 512$ $(-1)^2 = 1$
More Information
Exponents indicate how many times a number is multiplied by itself. When a negative number is raised to an even power, the result is positive. When a negative number is raised to an odd power, the result is negative. Any non-zero number raised to the power of 0 equals 1.
Tips
- Forgetting the rules of signs when dealing with negative numbers raised to a power (even vs. odd powers).
- Assuming that any number to the power of 0 is 0. Remember that any non-zero number to the power of 0 is 1.
- Miscalculating the multiplications.
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