<font color="#000000"><span class="equation-text" contenteditable="false" data-index="0" data-equation="同底数幂"><span></span><span></span></span></font>的乘法
同底数幂相乘：<span class="equation-text" contenteditable="false" data-index="0" data-equation="a^m"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="\cdot"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="2" data-equation="a^n"><span></span><span></span></span>=<span class="equation-text" contenteditable="false" data-index="3" data-equation="a^{m+n}"><span></span><span></span></span>
光在真空中的速度大约是3<span class="equation-text" contenteditable="false" data-index="0" data-equation="\times"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="10^8m/s"><span></span><span></span></span>
在我国，平均每平方千米的土地一年从太阳得到的能量，相当于燃烧1.3<span class="equation-text" contenteditable="false" data-index="0" data-equation="\times10^8kg"><span></span><span></span></span>的煤所产生的能量。我国960万<span class="equation-text" contenteditable="false" data-index="1" data-equation="km^2"><span></span><span></span></span>的土地上，一年从太阳得到的能量相当于燃烧多少千克的煤所产生的能量？（结果用科学计数法表示）
某种细菌，每分钟分裂成2个，经过5min，1个细菌分裂成多少个？
这些细菌再继续分裂t min后共分裂成多少个？
幂的乘方和积的乘方
地球的极半径6357千米，赤道半径6378千米，平均半径6371千米（地球赤道周长约4万千米），木星、太阳的半径分别约是地球的10倍和<span class="equation-text" contenteditable="false" data-index="0" data-equation="10^2倍"><span></span><span></span></span>
球的体积公式V=<span class="equation-text" contenteditable="false" data-index="0" data-equation="{4 \over 3}\pi"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="r^3"><span></span><span></span></span>
木星体积是地球的<span class="equation-text" contenteditable="false" data-index="0" data-equation="10^3倍和（10^2）^3倍"><span></span><span></span></span>
幂的乘方：<span class="equation-text" contenteditable="false" data-index="0" data-equation="（a^m）^n="><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="a^{mn}"><span></span><span></span></span>
积的乘方(底数不同，指数相同）：<span class="equation-text" contenteditable="false" data-index="0" data-equation="（ab）^n=a^nb^n"><span></span><span></span></span>
逆运算在题目中的应用
拓广：<span class="equation-text" contenteditable="false" data-index="0" data-equation="2²\times3\times5²"><span></span><span></span></span>=<span class="equation-text" contenteditable="false" data-index="1" data-equation="(2\times5)^{2}\times3"><span></span><span></span></span>
拓广：<span class="equation-text" contenteditable="false" data-index="0" data-equation="2^4"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="\times"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="2" data-equation="3^2\times"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="3" data-equation="5^3"><span></span><span></span></span>
<span class="equation-text" contenteditable="false" data-index="0" data-equation="2^{3+1}"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="\times3^{3-1}"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="2" data-equation="\times5^3"><span></span><span></span></span>
<span class="equation-text" contenteditable="false" data-index="0" data-equation="2^{2+2}\times"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="3^2"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="2" data-equation="\times5^{2+1}"><span></span><span></span></span>
<span class="equation-text" contenteditable="false" data-index="0" data-equation="(abc)^{n}"><span></span><span></span></span>
<span class="equation-text" data-index="0" data-equation="同底数幂" contenteditable="false"><span></span><span></span></span>的<font color="#00ff00">除法</font>
<span class="equation-text" contenteditable="false" data-index="0" data-equation="a^m\div"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="a^n="><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="2" data-equation="a^{m-n}(a≠0)"><span></span><span></span></span>
<span class="equation-text" contenteditable="false" data-index="0" data-equation="a^0=1"><span></span><span></span></span>(a≠0）
<span class="equation-text" contenteditable="false" data-index="0" data-equation="a^{-p}="><span></span><span></span></span>1/<span class="equation-text" contenteditable="false" data-index="1" data-equation="a^p"><span></span><span></span></span>(a≠0）
小于1的正数的科学计数法，可以表示为a<span class="equation-text" contenteditable="false" data-index="0" data-equation="\times"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="10^n"><span></span><span></span></span>(1≤a＜10），n是负整数
微米（μm）：细胞的直径1μm，1μm=1<span class="equation-text" contenteditable="false" data-index="0" data-equation="\times10^{-6}"><span></span><span></span></span>m=0.000 001m
纳秒（ns): 1ns=1<span class="equation-text" contenteditable="false" data-index="0" data-equation="\times"><span></span><span></span></span><span class="equation-text" contenteditable="false" data-index="1" data-equation="10^{-9}"><span></span><span></span></span>s=0.000 000 001s
PM2.5：指大气中d≤2.5μm的细颗粒物，对人体健康和大气环境质量有害，也称为可入肺细颗粒物。
纳米（nm）：长度单位，1nm=<span class="equation-text" contenteditable="false" data-index="0" data-equation="10^{-9}"><span></span><span></span></span>m,即10亿分之一米，直径为1nm的球与乒乓球相比，相当于乒乓球与地球相比。
纳米技术，是指在0.1-100nm的范围内，通过直接操纵和安排原子、分子来创造新物质，例如，采用纳米技术，可以在一块方糖大小的磁盘上存放一个国家图书馆的所有信息。还可以制造成“纳米医生”，微小到可以注入人体的血管中。
