What is the answer to (2000(0.8))/(x^{0.2)}=1500 ?

The answer to (2000(0.8))/(x^{0.2)}=1500 is x= 1048576/759375

Solve for x: (2000(0.8))/(x^{0.2)}=1500

The solution is x= 1048576/759375

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\frac{2000 ( 0.8 )}{x ^{0.2}} = 1500

x = \frac{1048576}{759375}

Decimal Notation

x = 1.38084 \dots

Solution steps

\frac{2000 ( 0.8 )}{x ^{0.2}} = 1500

Multiply both sides by

x^{0.2}

\frac{2000 \cdot 0.8}{x ^{0.2}} x^{0.2} = 1500 x^{0.2}

Simplify

1600 = 1500 x^{0.2}

Switch sides

1500 x^{0.2} = 1600

Divide both sides by

1500

x^{0.2} = \frac{16}{15}

Take both sides of the equation to the power of

5 : x = \frac{1048576}{759375}

x = \frac{1048576}{759375}

Verify Solutions:

x = \frac{1048576}{759375}

True

The solution is

x = \frac{1048576}{759375}

x + 7 = x - 5 + 2

x + 24 - x - 8 = 4

3 x + 3 = e

What is the answer to (2000(0.8))/(x^{0.2)}=1500 ?
The answer to (2000(0.8))/(x^{0.2)}=1500 is x= 1048576/759375
Solve for x: (2000(0.8))/(x^{0.2)}=1500
The solution is x= 1048576/759375