What is (25^{-x}0.15^{x+1})/(3^x0.5^{-x)} ?

The solution to (25^{-x}0.15^{x+1})/(3^x0.5^{-x)} is (0.15^{x+1}*0.5^x)/(75^x)

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simplify (25^{-x}0.15^{x+1})/(3^x0.5^{-x)}

simplify

\frac{2 5 ^{- x} 0.1 5 ^{x + 1}}{3 ^{x} 0. 5 ^{- x}}

\frac{0.1 5 ^{x + 1} \cdot 0. 5 ^{x}}{7 5 ^{x}}

Solution steps

\frac{2 5 ^{- x} \cdot 0.1 5 ^{x + 1}}{3 ^{x} \cdot 0. 5 ^{- x}}

Simplify

2 5^{- x} \cdot 0.1 5^{x + 1} : \frac{0.1 5 ^{x + 1}}{2 5 ^{x}}

= \frac{\frac{0.1 5 ^{x + 1}}{2 5 ^{x}}}{3 ^{x} \cdot 0. 5 ^{- x}}

Apply the fraction rule:

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

= \frac{0.1 5 ^{x + 1}}{2 5 ^{x} \cdot 3 ^{x} \cdot 0. 5 ^{- x}}

Simplify

2 5^{x} \cdot 3^{x} \cdot 0. 5^{- x} : \frac{7 5 ^{x}}{0. 5 ^{x}}

= \frac{0.1 5 ^{x + 1}}{\frac{7 5 ^{x}}{0. 5 ^{x}}}

Apply the fraction rule:

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

= \frac{0.1 5 ^{x + 1} \cdot 0. 5 ^{x}}{7 5 ^{x}}

(3 x + 5) \times (2 x - 1)

75 \times 3

x (x + 5)

1 - (\frac{2}{3})^{2}

- 9 \div 1

What is (25^{-x}0.15^{x+1})/(3^x0.5^{-x)} ?
The solution to (25^{-x}0.15^{x+1})/(3^x0.5^{-x)} is (0.15^{x+1}*0.5^x)/(75^x)