What is (0.3^5*0.3^7)/(0.3^9) ?

The solution to (0.3^5*0.3^7)/(0.3^9) is 0.027

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simplify (0.3^5*0.3^7)/(0.3^9)

simplify

\frac{0. 3 ^{5} \cdot 0. 3 ^{7}}{0. 3 ^{9}}

0.027

Solution steps

\frac{0. 3 ^{5} \cdot 0. 3 ^{7}}{0. 3 ^{9}}

\frac{0. 3 ^{5}}{0. 3 ^{9}} = \frac{1}{0. 3 ^{4}}

= \frac{0. 3 ^{7}}{0. 3 ^{4}}

Apply exponent rule:

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

= 0. 3^{7 - 4}

Subtract the numbers:

7 - 4 = 3

= 0. 3^{3}

0. 3^{3} = 0.027

= 0.027

- x (6 x - 7)

(2 x^{2} + 5 x + 5) (4 x - 3)

\frac{( 1 - 3 i ) ^{5}}{( 1 + i ) ^{4}}

\frac{2 7 - 3}{7 + 2}

\frac{120}{7}