Their senator is an
exponent of free trade.
他们的参议员是一个自由贸易的拥护者。
Eric is a great
exponent of dance.
埃里克是舞蹈的杰出代表人物。
Mary is an
exponent of vegetarianism.
玛丽是一个素食主义的倡导者。
The
exponent of 2 in the number 32 is 5, since \(2^5 = 32\).
(数字32中2的指数是5,因为\(2^5 = 32\)。
In the expression \(x^3\), the
exponent indicates that x should be multiplied by itself three times.
在表达式\(x^3\)中,指数表示x应该自乘三次。
Elevating a number to the power of zero always results in 1, regardless of the
exponent's base.
任何数的零次幂总是等于1,无论底数是什么。
The term "
exponentiation" refers to the mathematical operation involving a base raised to an
exponent.
("指数运算"这个词指的是涉及基数被提高到某个指数的数学操作。
In scientific notation, numbers are written as a product of a number between 1 and 10 and a power of 10, where the
exponent signifies the number of places the decimal point has moved.
在科学记数法中,数字被写成一个1到10之间的数与10的幂的乘积,这里的指数表示小数点移动的位数。
Understanding logarithms requires a solid grasp of
exponents, as a logarithm is essentially the inverse operation of
exponentiation.
理解对数需要牢固掌握指数的概念,因为对数本质上是指数运算的逆运算。
The laws of
exponents help simplify expressions involving powers, such as \(a^{m} \cdot a^{n} = a^{m+n}\).
(指数法则有助于简化涉及幂的表达式,如\(a^{m} \cdot a^{n} = a^{m+n}\)。
When calculating large powers manually, recognizing patterns in the
exponents can greatly speed up the process.
手动计算大幂时,识别指数中的模式可以大大提高计算速度。
In the equation \(y = 2^x\), the variable 'x' serves as the
exponent, determining how many times the base (2) is multiplied.
在方程\(y = 2^x\)中,变量'x'充当指数,决定基数(2)被乘以多少次。
Computers use binary, a numbering system where each position's value is a power of 2, with the
exponent indicating the position from right to left, starting at 0.
(计算机使用二进制,这是一种计数系统,其中每个位置的值都是2的幂,指数表示从右向左的位置,起始位置为0。
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