数学の基礎
移民・留学生・働く人のための豪州の日常語、スラング、生活手続き用語を、やさしい英語と8言語で解説します。
確認済み項目
35 件power
noun累乗
In maths, a number written with an exponent, such as 3⁴; also the exponent itself.
Three to the fourth power, 3⁴, equals 81.
3の4乗、つまり3⁴は81になる。power of a power
noun累乗の累乗
The exponent rule (aᵐ)ⁿ = aᵐⁿ: multiply the exponents.
Using the power of a power rule, (2³)² = 2⁶ = 64.
累乗の累乗の法則を使うと、(2³)² = 2⁶ = 64になる。対数の累乗の法則
The rule log(aⁿ) = n log a.
The power rule for logarithms turns log(x³) into 3 log x.
対数の累乗の法則でlog(x³)は3 log xになる。product rule
noun指数法則（積）
The exponent rule aᵐ × aⁿ = aᵐ⁺ⁿ: when multiplying powers with the same base, add the exponents.
By the product rule, x³ × x⁴ = x⁷.
積の指数法則により、x³ × x⁴ = x⁷となる。対数の積の法則
The rule log(ab) = log a + log b.
By the product rule for logarithms, log 6 = log 2 + log 3.
対数の積の法則により、log 6 = log 2 + log 3となる。quotient rule
noun指数法則（商）
The exponent rule aᵐ ÷ aⁿ = aᵐ⁻ⁿ: when dividing powers with the same base, subtract the exponents.
By the quotient rule, 5⁷ ÷ 5⁴ = 5³.
商の指数法則により、5⁷ ÷ 5⁴ = 5³となる。対数の商の法則
The rule log(a ÷ b) = log a − log b.
Using the quotient rule for logarithms, log 5 = log 10 − log 2.
対数の商の法則を使うと、log 5 = log 10 − log 2となる。有理数の指数
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)の有理数の指数は8の立方根、つまり2を意味する。
科学的記数法
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を科学的記数法で表すと3.5 × 10⁶だ。zero exponent
noun0乗
The rule that any non-zero number to the power 0 equals 1.
Because of the zero exponent rule, 7⁰ = 1.
0乗の法則により、7⁰ = 1となる。