What Are The Laws Of Exponents
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ᴡʜᴀᴛ ᴀʀᴇ ᴛʜᴇ ʟᴀᴡs ᴏғ ᴇxᴘᴏɴᴇɴᴛ??
ғɪʀsᴛ ʟᴀᴡ :- ɪғ ᴀ ɴᴏɴ-ᴢᴇʀᴏ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ᴀɴᴅ ᴍ, ɴ ᴀʀᴇ ɪɴᴛᴇɢᴇʀs, ᴛʜᴇɴ
a^m a^n = a^m+n
sᴇᴄᴏɴᴅ ʟᴀᴡ :- ɪғ ᴀ ɪs ᴀ ɴᴏɴ-ᴢᴇʀᴏ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ᴀɴᴅ ᴍ, ɴ ᴀʀᴇ ɪɴᴛᴇɢᴇʀs, ᴛʜᴇɴ
a^m ÷ a^n = a^m-n
ᴛʜɪʀᴅ ʟᴀᴡ :- ɪғ ᴀ ɪs ᴀ ɴᴏɴ-ᴢᴇʀᴏ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ᴀɴᴅ ᴍ, ɴ ᴀʀᴇ ɪɴᴛᴇɢᴇʀs, ᴛʜᴇɴ
(a^m)^n = a^mn = (a^n)^m
ғᴏᴜʀᴛʜ ʟᴀᴡ :- ɪғ ᴀ, ʙ ᴀʀᴇ ɴᴏɴ-ᴢᴇʀᴏ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs ᴀɴᴅ ɴ ɪs ᴀɴ ɪɴᴛᴇɢᴇʀ, ᴛʜᴇɴ
(ab)^n = a^n b^n
ғɪғᴛʜ ʟᴀᴡ :- ɪғ ᴀ, ʙ ᴀʀᴇ ɴᴏɴ-ᴢᴇʀᴏ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs ᴀɴᴅ ɴ ɪs ᴀɴ ɪɴᴛᴇɢᴇʀ, ᴛʜᴇɴ
(a/b)^n = a^n/b^n
sɪxᴛʜ ʟᴀᴡ :- ɪғ ᴀ, ʙ ᴀʀᴇ ɴᴏɴ-ᴢᴇʀᴏ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs ᴀɴᴅ ɴ ɪs ᴀ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ, ᴛʜᴇɴ
(a/b)^-n = (b/a)^n
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