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Popular >

simplify 2^x*5^{-x}

Solution

simplify

2^{x} \cdot 5^{- x}

Solution

\frac{2 ^{x}}{5 ^{x}}

Solution steps

2^{x} \cdot 5^{- x}

Apply exponent rule:

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

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

= 2^{x} \cdot \frac{1}{5 ^{x}}

Apply the fraction rule:

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

= \frac{2 ^{x} \cdot 1}{5 ^{x}}

Apply rule:

a \cdot 1 = a

2^{x} \cdot 1 = 2^{x}

= \frac{2 ^{x}}{5 ^{x}}

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Frequently Asked Questions (FAQ)

What is 2^x*5^{-x} ?
The solution to 2^x*5^{-x} is (2^x)/(5^x)