What is (2.5x^{0.333})x 1/3 ?

The solution to (2.5x^{0.333})x 1/3 is 0.83333…x^{1.333}

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simplify (2.5x^{0.333})x 1/3

simplify

(2.5 x^{0.333}) x \frac{1}{3}

0.83333 \dots x^{1.333}

Solution steps

(2.5 x^{0.333}) x \frac{1}{3}

Apply exponent rule:

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

x^{0.333} x = x^{0.333 + 1}

= 2.5 x^{0.333 + 1} \frac{1}{3}

Add the numbers:

0.333 + 1 = 1.333

= 2.5 x^{1.333} \frac{1}{3}

Multiply fractions:

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

= 2.5 \cdot \frac{1 \cdot x ^{1.333}}{3}

Simplify

\frac{1 \cdot x ^{1.333}}{3} : 0.33333 \dots x^{1.333}

= 0.33333 \dots \cdot 2.5 x^{1.333}

Multiply the numbers:

2.5 \cdot 0.33333 \dots = 0.83333 \dots

= 0.83333 \dots x^{1.333}

(3 x - 5)^{2}

(\frac{1}{64})^{4}

2 (3 + 12)

(3 m^{2}) (2 m^{4})

- 2.2067 x 1 0^{- 12}

What is (2.5x^{0.333})x 1/3 ?
The solution to (2.5x^{0.333})x 1/3 is 0.83333…x^{1.333}