Question

Which expression is equal to the expression below?

(2x6)^4

A 4 x (2x6)

B 8^4

C 2 x (6)^4

D 2^4 x 6^4

Answer 1

Hey there!

1. 
   `\bold{(2*6)^4}`
2. 
   `\bold{2*6=12}`
3. 
   `\bold{12*12*12*12}`
4. 
   `\bold{12*12=144}`
5. 
   `\bold{144*144=20,736}`

`\bold{A.\downarrow}`

• 
  `\bold{4*(2*6)}`
• 
  `\bold{2*6=12}`
• 
  `\bold{4*12=48}`
• 
  `\bold{48\\eq20,736}`
• 
  `\boxed{\bold{incorrect}}`

`\bold{B.\downarrow}`

• 
  `\bold{8^4}`
• 
  `\bold{8*8*8*8}`
• 
  `\bold{8*8=64}`
• 
  `\bold{64*64=4,096}`
• 
  `\bold{4,096\\eq20,736}`
• 
  `\boxed{\bold{incorrect}}`

`\bold{C.\downarrow}`

• 
  `\bold{2*(6)^4}`
• 
  `\bold{6^4=1,296}`
• 
  `\bold{2*1,296=2,592}`
• 
  `\bold{2,592\\eq20,736}`
• 
  `\boxed{\bold{incorrect}}`

`\bold{D\downarrow}`

• 
  `\bold{2^4*6^4}`
• 
  `\bold{2^4=16}`
• 
  `\bold{6^4=1,296}`
• 
  `\bold{16*1,296=20,736}`
• 
  `\bold{20,736=20,736}`
• 
  `\boxed{\boxed{\bold{correct}}}`

`\boxed{\boxed{\bold{Answer:D.2^4*6^4}\checkmark}}`

Good luck on your assignment and enjoy your day!

~
`\bold{LoveYourselfFirst:)}`