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Popular >

simplify ((0.1)^x)/((0.5)^x)

Solution

simplify

\frac{( 0.1 ) ^{x}}{( 0.5 ) ^{x}}

Solution

0. 2^{x}

Solution steps

\frac{( 0.1 ) ^{x}}{( 0.5 ) ^{x}}

Apply exponent rule:

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

\frac{0. 1 ^{x}}{0. 5 ^{x}} = (\frac{0.1}{0.5})^{x}

= (\frac{0.1}{0.5})^{x}

Divide the numbers:

\frac{0.1}{0.5} = 0.2

= 0. 2^{x}

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Frequently Asked Questions (FAQ)

What is ((0.1)^x)/((0.5)^x) ?
The solution to ((0.1)^x)/((0.5)^x) is 0.2^x