Question

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Answer 1

Answer:

1) When bases are same, powers are added - In Multiplication.

2) In Division - when bases are same , powers are subtracted.

3) Anything to the power 0 is always 1.

4) 6^2= 36, 2^3=8, 4^2=16.

Try it yourself and tell if there is any difficulty.

Answer 2

10.a)2⁴×3⁵×8/3²×16

=2⁴×2³×3⁵/3²×2⁴

=2³×3³=(2×3)³=(6)³=6³

b)[(7³)⁴×7³]÷7⁸

=[7¹²]÷7⁸

=7¹²÷7⁸

=7³

c)36⁴÷6²

=(6×6)⁴÷6²

=6⁴×6⁴÷6²

=6²×6⁴

=6⁶

d)3⁰+5⁰+6⁰(1⁰=1 or x⁰=1)

=1+1+1(putting the value of to the power 0)

=3

b`a~se`

ᴅᴇғɪɴɪᴛɪᴏɴ. ᴀ ɴᴜᴍʙᴇʀ ʙᴀsᴇ ɪs ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ᴅɪɢɪᴛs ᴏʀ ᴄᴏᴍʙɪɴᴀᴛɪᴏɴ ᴏғ ᴅɪɢɪᴛs ᴛʜᴀᴛ ᴀ sʏsᴛᴇᴍ ᴏғ ᴄᴏᴜɴᴛɪɴɢ ᴜsᴇs ᴛᴏ ʀᴇᴘʀᴇsᴇɴᴛ ɴᴜᴍʙᴇʀs. ᴀ ʙᴀsᴇ ᴄᴀɴ ʙᴇ ᴀɴʏ ᴡʜᴏʟᴇ ɴᴜᴍʙᴇʀ ɢʀᴇᴀᴛᴇʀ ᴛʜᴀɴ 0. ᴛʜᴇ ᴍᴏsᴛ ᴄᴏᴍᴍᴏɴʟʏ ᴜsᴇᴅ ɴᴜᴍʙᴇʀ sʏsᴛᴇᴍ ɪs ᴛʜᴇ ᴅᴇᴄɪᴍᴀʟ sʏsᴛᴇᴍ, ᴄᴏᴍᴍᴏɴʟʏ ᴋɴᴏᴡɴ ᴀs ʙᴀsᴇ .

Exponent

ᴀɴ ᴇxᴘᴏɴᴇɴᴛ ʀᴇғᴇʀs ᴛᴏ ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ᴛɪᴍᴇs ᴀ ɴᴜᴍʙᴇʀ ɪs ᴍᴜʟᴛɪᴘʟɪᴇᴅ ʙʏ ɪᴛsᴇʟғ. ғᴏʀ ᴇxᴀᴍᴘʟᴇ, 2 ᴛᴏ ᴛʜᴇ 3ʀᴅ (ᴡʀɪᴛᴛᴇɴ ʟɪᴋᴇ ᴛʜɪs: 23) ᴍᴇᴀɴs: 2 x 2 x 2 = 8. 23 ɪs ɴᴏᴛ ᴛʜᴇ sᴀᴍᴇ ᴀs 2 x 3 = 6. ʀᴇᴍᴇᴍʙᴇʀ ᴛʜᴀᴛ ᴀ ɴᴜᴍʙᴇʀ ʀᴀɪsᴇᴅ ᴛᴏ ᴛʜᴇ ᴘᴏᴡᴇʀ ᴏғ 1 ɪs ɪᴛsᴇʟғ.