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Popular >

expand 5^{(n)}*5^{-1}

Solution

expand

5^{(n)} \cdot 5^{- 1}

Solution

5^{n - 1}

Solution steps

5^{(n)} \cdot 5^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply:

1 \cdot 5^{n} = 5^{n}

= \frac{5 ^{n}}{5}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{5 ^{n}}{5} = 5^{n - 1}

= 5^{n - 1}

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Frequently Asked Questions (FAQ)

What is expand 5^{(n)}*5^{-1} ?
The solution to expand 5^{(n)}*5^{-1} is 5^{n-1}