Question

if y10×y5=yk×y2k what will be the value of k​

Answer 1

Question:

If $y^{10}$×$y^{5}$ = $y^{k}$×$y^{2k}$ what will be the value of k​

Step-by-step explanation:

• $y^{10}$×$y^{5}$ = $y^{k}$×$y^{2k}$

• Taking LHS, $y^{10}$×$y^{5}$

• $y^{10+5}$

• Taking RHS, $y^{k}$×$y^{2k}$

• $y^{k+2k}$

• Now, putting LHS = RHS

• $y^{10+5} = y^{k+2k}\\\\y^{15} = y^{3k}$

• As, the exponent is same on both side we can say that
• 15 = 3k
• ∴ k = 15 ÷ 3
• k=5

∵ the value of k is 5.