What is the answer to 7x^{5/3}-21=0 ?

The answer to 7x^{5/3}-21=0 is x=3^{3/5}

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7x^{5/3}-21=0

7 x^{\frac{5}{3}} - 21 = 0

x = 3^{\frac{3}{5}}

Decimal Notation

x = 1.93318 \dots

Solution steps

7 x^{\frac{5}{3}} - 21 = 0

Move

21

to the right side

7 x^{\frac{5}{3}} = 21

Divide both sides by

7

x^{\frac{5}{3}} = 3

Take both sides of the equation to the power of

\frac{3}{5} : x = 3^{\frac{3}{5}}

x = 3^{\frac{3}{5}}

Verify Solutions:

x = 3^{\frac{3}{5}}

True

The solution is

x = 3^{\frac{3}{5}}

4 x^{2} + 3 x + 2 = 0

x^{3} x^{\frac{4}{3}} = x a

x - 9 = - 6

3 x + 34 - 2 = x

x^{2} + 5 = 2 x + 1