Question

Evaluate the fraction
36^3/12^5

Answer 1

`\huge\text{Hey there!}`

`\mathsf{(36^3)/(12^5)}`

`\mathsf{= (36*36*36)/(12*12*12*12*12)}`

`\mathsf{= (1,296*36)/(144*144*12)}`

`\mathsf{= (46,656)/(20,736*12)}`

`\mathsf{= (46,656)/(248,832)}`

`\mathsf{\mathsf{= (46,656/ 15,552)/(248,832 / 15,552)}}`

`\mathsf{= (3)/(16)}`

`\huge\text{Therefore, your answer should be:}`

`\ \huge\boxed{\mathsf{(46,656)/(248,832)\ or\ (3)/(16)}}\huge\checkmark\\\\\ \huge\boxed{\uparrow}}\huge\text{ Either of those should work because they are}\\\huge\text{equivalent to each other :) }} \huge\boxed{\uparrow}}`

~
`\frak{Amphitrite1040:)}`

Answer 2

Answer: 46656/248832

Explanation:

Potentiation in fractions.

Power is made up of a base and an exponent. The exponent indicates how many times the base will be multiplied by itself.

For example:

• The power of 2² = 2 × 2 × 2 = 8

We solve:

`\boldsymbol{\sf{(36^3)/(12^5)=(36*36*36)/(12*12*12*12*12 )=(46656)/(248832 ) }}`

36³/12⁵ = 46656/248832