Question

(12)^6/162
solve this using laws of exponents

Answer 1

Answer:

The value of  using laws of exponents 12⁶/162 = 2¹¹*3²

Step-by-step explanation:

(xᵃ)ᵇ = xᵃᵇ

xᵃ * xᵇ = xᵃᵇ

xᵃ/xᵇ = xᵃ⁻ᵇ

It is given that,

(12)⁶/162

Find the value of (12)⁶/162

By using laws of exponents we can write,

(12)⁶/162 = (3*4)⁶/(2*81)

  = (3*2²)⁶/(2*3⁴)

  = (3⁶*2¹²)/(2*3⁴)

  = (2¹²*3⁶)/(2*3⁴)

  = 2¹²⁻¹*3⁶⁻⁴

  = 2¹¹*3²

Therefore the value of  using laws of exponents 12⁶/162 = 2¹¹*3²