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

Pls help due in 10 minutes!!!!!!!!!!!!!!1-example-1
User Jimmy Kane
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1 Answer

7 votes

Answer:

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

User Athul Muralidharan
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