Question

b)On simplification 8 ^3x 2^4, we get
1) 16^7
2)2^13
3) 2^10
4) 8^4​

Answer 1

Answer:

8^3×2^4

(8×2)^ 3+4

16^7

Answer 2

Answer:

${\huge{\red{\underline{\underline{Question}}}}}$

On simplification ${8}^{3}×{2}^{4}$, we get

• 1) ${16}^{7}$
• 2)${2}^{13}$
• 3) ${2}^{10}$
• 4) ${8}^{4}$

${\huge{\red{\underline{\underline{Important\ formulas}}}}}$

${x}^{a}×{x}^{b}={x}^{(a+b)}\\</p><p>{x}^{a}÷{x}^{b}={x}^{(a-b)}\\</p><p>{({x}^{a})}^{b}={x}^{(a×b)}$

${\huge{\red{\underline{\underline{Answer}}}}}$

${8}^{3}×{2}^{4}\\</p><p>=>{({2}^{3})}^{3}×{2}^{4}\\</p><p>=>{2}^{(3×3)}×{2}^{4}\\</p><p>=>{2}^{(9+14)}\\</p><p>=>{2}^{13}$

Hence,Option 2 is correct.