Question

simplify = (2^3+3^3+4^3) multiplied by 1/(24)^6​

Answer 1

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Answer 2

Step-by-step explanation:

$\rm{ \underline{Solution-}}$

Given expression,

$( 2 ^ { 3 } \times 3 ^ { 3 } \times 4 ^ { 3 } ) \times \frac { 1 } { ( 24 ) ^ { 6 } }$

Calculate. 2 to the power of 3 and get 8.

$\longrightarrow \: ( 8 \times 3 ^ { 3 } \times 4 ^ { 3 } ) \times \frac { 1 } { ( 24 ) ^ { 6 } }$

Calculate 3 to the power of 3 and get 27.

$\longrightarrow \: ( 8 \times 27 \times 4 ^ { 3 } ) \times \frac { 1 } { ( 24 ) ^ { 6 } }$

Multiply 8 and 27 to get 216.

$\longrightarrow \: ( 216 \times 4 ^ { 3 } ) \times \frac { 1 } { ( 24 ) ^ { 6 } }$

Calculate 4 to the power of 3 and get 64.

$\longrightarrow \: ( 216 \times 64 ) \times \frac { 1 } { ( 24 ) ^ { 6 } }$

Multiply 216 and 64 to get 13824.

$\longrightarrow \: 13824 \times \frac { 1 } { ( 24 ) ^ { 6 } }$

Calculate 24 to the power of 6 and get 191102976.

$\longrightarrow \: 13824 \times \bigg(\frac { 1 } { 191102976 } \bigg)$

Multiply 13824 and 1/191102976 and get 13824/191102976.

$\longrightarrow \: \frac{13824}{191102976}$

Reduce the fraction 13824/191102976 to the lowest term by extracting and cancaling out 13824.

$\longrightarrow \: \boxed{ \frac{1}{13824} = 0.000072338}$

• Hence, this is your reqd ans.