What is (4/5 x^a)*(3/2 x) ?

The solution to (4/5 x^a)*(3/2 x) is (6x^{a+1})/5

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simplify (4/5 x^a)*(3/2 x)

simplify

(\frac{4}{5} x^{a}) \cdot (\frac{3}{2} x)

\frac{6 x ^{a + 1}}{5}

Solution steps

(\frac{4}{5} x^{a}) (\frac{3}{2} x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{a} x = x^{a + 1}

= \frac{4}{5} \cdot \frac{3}{2} x^{a + 1}

Multiply fractions:

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

= \frac{4 \cdot 3 x ^{a + 1}}{5 \cdot 2}

Refine

= \frac{12 x ^{a + 1}}{10}

Cancel the common factor:

2

= \frac{6 x ^{a + 1}}{5}

7 (\frac{5}{2} + \frac{1}{2} x)^{- 5}

\frac{4 ^{x}}{9 ^{x}}

e^{4 t} \cdot e^{12 t}

- 3.19 (1.58 \cdot 1 0^{- 30}) (4105)

1 \cdot (\frac{1}{16})^{- 1.7}