数学基础
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已审核词条
35 个词条power
noun乘方，幂
In maths, a number written with an exponent, such as 3⁴; also the exponent itself.
Three to the fourth power, 3⁴, equals 81.
3的四次方，即3⁴，等于81。power of a power
noun幂的乘方
The exponent rule (aᵐ)ⁿ = aᵐⁿ: multiply the exponents.
Using the power of a power rule, (2³)² = 2⁶ = 64.
用幂的乘方法则，(2³)² = 2⁶ = 64。对数的幂法则
The rule log(aⁿ) = n log a.
The power rule for logarithms turns log(x³) into 3 log x.
对数的幂法则把log(x³)变为3 log x。product rule
noun同底数幂相乘法则
The exponent rule aᵐ × aⁿ = aᵐ⁺ⁿ: when multiplying powers with the same base, add the exponents.
By the product rule, x³ × x⁴ = x⁷.
根据同底数幂相乘法则，x³ × x⁴ = x⁷。对数的积法则
The rule log(ab) = log a + log b.
By the product rule for logarithms, log 6 = log 2 + log 3.
根据对数的积法则，log 6 = log 2 + log 3。quotient rule
noun同底数幂相除法则
The exponent rule aᵐ ÷ aⁿ = aᵐ⁻ⁿ: when dividing powers with the same base, subtract the exponents.
By the quotient rule, 5⁷ ÷ 5⁴ = 5³.
根据同底数幂相除法则，5⁷ ÷ 5⁴ = 5³。对数的商法则
The rule log(a ÷ b) = log a − log b.
Using the quotient rule for logarithms, log 5 = log 10 − log 2.
用对数的商法则，log 5 = log 10 − log 2。分数指数
An exponent written as a fraction, showing a root: a^(m/n) is the nth root of a to the m.
The rational exponent in 8^(1/3) means the cube root of 8, which is 2.
8^(1/3)中的分数指数表示8的立方根，即2。
科学记数法
A way of writing very large or small numbers as a number between 1 and 10 times a power of 10.
3,500,000 in scientific notation is 3.5 × 10⁶.
3,500,000用科学记数法表示为3.5 × 10⁶。zero exponent
noun零指数
The rule that any non-zero number to the power 0 equals 1.
Because of the zero exponent rule, 7⁰ = 1.
根据零指数法则，7⁰ = 1。