Question

NEED OT URGENT .. PLZ SOLVR​

Answer 1

Answer:

256^0.16 × 256^0.09

[ Bases are same . Power should be added ]

0.16 + 0.09 = 0.25

256^0.25

hope it helps

Answer 2

Tᴏ Fɪɴᴅ :-

• value of (256)^0.16 × (256)^0.09

Fᴏʀᴍᴜʟᴀ ᴜsᴇᴅ :-

• a^b * a^c = a^(b + c)
• (a^b)^c = a^(b*c)

Sᴏʟᴜᴛɪᴏɴ :-

⟿ (256)^0.16 × (256)^0.09

using a^b * a^c = a^(b + c) we get,

⟿ (256)^(0.16 + 0.09)

⟿ (256)^(0.25)

⟿ (256)^(25/100)

⟿ (256)^(1/4)

⟿ (4⁴)^(1/4)

Now, using (a^b)^c = a^(b*c)

⟿ 4^( 4 * 1/4)

⟿ 4^1

⟿ 4 (Ans.)