Simplify

      

Simplify $\sqrt{3^x \times 4^{2x }\div3^{-x}}$

  

Answers

---

= ($3^x \times 4^{2x} \div 3^{-x})^{\frac{1}{2}}$

= $(3^{x+x}+4^{2x})^{\frac{1}{2}}$ = $(3^{2x} \times 4^{2x})^{\frac{1}{2}}$

=$3^x \times 4^x = 12^x$

---

johnmulu answered the question on June 12, 2017 at 08:43

Next: What is forestry?
Previous: What are the factors favouring the growth of natural forests on the slopes of Mt Kenya?

View More Mathematics Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• Solve for x in (Solved)
  

  Solve for x in $\frac{81 \times 27^x}{9^x}$ = 729

  Date posted: June 12, 2017.  Answers (1)

• Evaluate $32^{x-3}$ x $8^{x+4}$ = $\frac{64}{2^2}$(Solved)
  

  Evaluate $32^{x-3}$ x $8^{x+4}$ = $\frac{64}{2^x}$

  Date posted: June 12, 2017.  Answers (1)

• Solve for x(Solved)
  

  Solve for x in $9^{x-\frac{1}{2}}$ = $27^{\frac{3}{4}x -5}$

  Date posted: June 12, 2017.  Answers (1)

• Evaluate 4^5x x 2^(3x)2 = 256(Solved)
  

  Evaluate 4^5x x 2^(3x)2 = 256

  Date posted: June 12, 2017.  Answers (1)

• Solve for x in 4^x+1 = 32. (Solved)
  

  Solve for x in 4^x+1 = 32.

  Date posted: June 12, 2017.  Answers (1)

• On a map with scale 1: 50 000 a square piece of land of actual area 0.64 hectares has a length of x cm on the map. Find x. (Solved)
  

  On a map with scale 1: 50 000 a square piece of land of actual area 0.64 hectares has a length of x cm on the map. Find x.

  Date posted: June 12, 2017.  Answers (1)

• A map has a scale of 1: 40 000 (a) Calculate the distance in metres between two points on the ground if the distance shown on the map is the map 3.25 cm(Solved)
  

  A map has a scale of 1: 40 000
  (a) Calculate the distance in metres between two points on the ground if the distance shown on the map is the map 3.25 cm
  (b) Calculate the area on the map of woodland which occupies 36 metres by 36 metres on the ground.

  Date posted: June 12, 2017.  Answers (1)

• On a map drawn to scale of 1: 350 000 the approximate area of an island is 7 cm². Find correct to 3 s.f the area of the island in square kilometres. (Solved)
  

  On a map drawn to scale of 1: 350 000 the approximate area of an island is 7cm². Find correct to 3 s.f the area of the island in square kilometres.

  Date posted: June 12, 2017.  Answers (1)

• The scale of a map is 1:20, 000. A tunnel measures 0.48 cm on the map. Calculate the actual length in metres of the tunnel. (Solved)
  

  The scale of a map is 1:20, 000. A tunnel measures 0.48 cm on the map. Calculate the actual length in metres of the tunnel.

  Date posted: June 12, 2017.  Answers (1)

• The exterior angle of a regular polygon is two seventh of the interior angle. Find the number of sides of this polygon.(Solved)
  

  The exterior angle of a regular polygon is two seventh of the interior angle. Find the number of sides of this polygon.

  Date posted: June 12, 2017.  Answers (1)

• A regular polygon is such that its interior angle exceeds three times the exterior angle by 20^o. Find (Solved)
  

  A regular polygon is such that its interior angle exceeds three times the exterior angle by 20^o. Find the number of sides the polygon has.

  Date posted: June 12, 2017.  Answers (1)

• The ratio of the interior angle to the exterior angle of a regular polygon is 23:2. Find the number of sides the polygon has. (Solved)
  

  The ratio of the interior angle to the exterior angle of a regular polygon is 23:2. Find the number of sides the polygon has.

  Date posted: June 12, 2017.  Answers (1)

• The interior angle of a regular polygon exceeds the exterior by 144^o. Find the (Solved)
  

  The interior angle of a regular polygon exceeds the exterior by 144^o. Find the
  (a) number of sides
  (b) sum of interior angles

  Date posted: June 12, 2017.  Answers (1)

• Each interior angle of a regular polygon is 120^o larger than the exterior angle. Determine the number of sides the polygon has. (Solved)
  

  Each interior angle of a regular polygon is 120^o larger than the exterior angle. Determine the number of sides the polygon has.

  Date posted: June 12, 2017.  Answers (1)

• The size of each interior angle of a regular polygon is 5 times the size of the exterior angle. Find the number of sides of the polygon. (Solved)
  

  The size of each interior angle of a regular polygon is 5 times the size of the exterior angle. Find the number of sides of the polygon.

  Date posted: June 10, 2017.  Answers (1)

• If each interior angle of a regular polygon is x^o and each exterior angle is (Solved)
  

  If each interior angle of a regular polygon is $x^o$and each exterior angle is
  $\frac{x - 36}{3}$
  Calculate the sum of the interior angles in the polygon.

  Date posted: June 10, 2017.  Answers (1)

• A regular polygon has its interior angle as 156^o. Find the number of sides that the polygon has. (Solved)
  

  A regular polygon has its interior angle as 156^o. Find the number of sides that the polygon has.

  Date posted: June 10, 2017.  Answers (1)

• The sum of interior angles of a polygon is 2880^o. Find (Solved)
  

  The sum of interior angles of a polygon is 2880^o. Find
  (a) The number of sides the polygon has.
  (b) The number of triangles which can be formed when diagonals are drawn from one vertex connecting the other vertices.

  Date posted: June 9, 2017.  Answers (1)

• Two of the interior angles of a pentagon are 100^o and 140^o. Find the remaining angles if they are all equal. (Solved)
  

  Two of the interior angles of a pentagon are 100^o and 140^o. Find the remaining angles if they are all equal.

  Date posted: June 9, 2017.  Answers (1)

• The figure below shows part of a regular polygon not drawn to scale. (Solved)
  

  The figure below shows part of a regular polygon not drawn to scale.
  
  Determine the number of sides the polygon has.

  Date posted: June 9, 2017.  Answers (1)