What is (1/5 \times 5)^5 ?

The solution to (1/5 \times 5)^5 is 1

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(1/5 \times 5)^5

(\frac{1}{5} \cdot 5)^{5}

1

Solution steps

(\frac{1}{5} \cdot 5)^{5}

Follow the PEMDAS order of operations

Calculate within parentheses

(\frac{1}{5} \cdot 5) : 1

\frac{1}{5} \cdot 5

\frac{1}{5} \cdot 5 = 1

\frac{1}{5} \cdot 5

Convert element to fraction:

5 = \frac{5}{1}

= \frac{1}{5} \cdot \frac{5}{1}

Cross-cancel:

5

= 1

= 1

= 1^{5}

Calculate exponents

1^{5} : 1

1^{5}

1^{5} = 1

= 1

= 1

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