Question

Pls help due in 10 minutes!!!!!!!!!!!!!!1

Answer 1

1

Explanation:

Given expression:

`27 \cdot \left(\left(3^3\right)^(-1)\right)`

Following the order of operations, carry out the operations inside the parentheses first:

`\implies 27 \cdot \left(\left(3 \cdot 3\cdot 3\right)^(-1)\right)`

`\implies 27 \cdot \left(27^(-1)\right)`

`\textsf{Apply exponent rule} \quad a^(-n)=(1)/(a^n):`

`\implies 27 \cdot \left((1)/(27^1)\right)`

`\implies 27 \cdot \left((1)/(27)\right)`

Convert 27 to a fraction:

`\implies (27)/(1) \cdot (1)/(27)`

Cross cancel the common factor:

`\implies (\diagup\!\!\!\!\!27)/(1) \cdot (1)/(\diagup\!\!\!\!\!27)`

`\implies (1)/(1)`

`\implies 1`