What is (4x+5)^{1/3}(3(4x+5)^{2/3}) ?

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

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simplify (4x+5)^{1/3}(3(4x+5)^{2/3})

simplify

(4 x + 5)^{\frac{1}{3}} (3 (4 x + 5)^{\frac{2}{3}})

3 (4 x + 5)

Solution steps

(4 x + 5)^{\frac{1}{3}} (3 (4 x + 5)^{\frac{2}{3}})

Apply exponent rule:

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

(4 x + 5)^{\frac{1}{3}} (4 x + 5)^{\frac{2}{3}} = (4 x + 5)^{\frac{1}{3} + \frac{2}{3}}

= 3 (4 x + 5)^{\frac{1}{3} + \frac{2}{3}}

Combine the fractions

\frac{1}{3} + \frac{2}{3} : 1

= 3 (4 x + 5)^{1}

Apply rule

a^{1} = a

(4 x + 5)^{1} = 4 x + 5

= 3 (4 x + 5)

e^{- \frac{3}{0.08}}

e^{- 4.46 \cdot 1 0^{- 1}}

2.22 \cdot 1 0^{- 3}

(x + 2)^{4} (x - 1)^{4}

2.22 \cdot 1 0^{- 4}

What is (4x+5)^{1/3}(3(4x+5)^{2/3}) ?
The solution to (4x+5)^{1/3}(3(4x+5)^{2/3}) is 3(4x+5)