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. $\bold{(2\times6)^4}$
2. $\bold{2\times6=12}$
3. $\bold{12\times12\times12\times12}$
4. $\bold{12\times12=144}$
5. $\bold{144\times144=20,736}$

         $\bold{A.\downarrow}$

• $\bold{4\times(2\times6)}$
• $\bold{2\times6=12}$
• $\bold{4\times12=48}$
• $\bold{48\neq20,736}$
• $\boxed{\bold{incorrect}}$

      $\bold{B.\downarrow}$

• $\bold{8^4}$
• $\bold{8\times8\times8\times8}$
• $\bold{8\times8=64}$
• $\bold{64\times64=4,096}$
• $\bold{4,096\neq20,736}$
• $\boxed{\bold{incorrect}}$

 

         $\bold{C.\downarrow}$

• $\bold{2\times(6)^4}$
• $\bold{6^4=1,296}$
• $\bold{2\times1,296=2,592}$
• $\bold{2,592\neq20,736}$
• $\boxed{\bold{incorrect}}$

          $\bold{D\downarrow}$

• $\bold{2^4\times6^4}$
• $\bold{2^4=16}$
• $\bold{6^4=1,296}$
• $\bold{16\times1,296=20,736}$
• $\bold{20,736=20,736}$
• $\boxed{\boxed{\bold{correct}}}$

$\boxed{\boxed{\bold{Answer:D.2^4\times6^4}\checkmark}}$

Good luck on your assignment and enjoy your day!

~$\bold{LoveYourselfFirst:)}$