Solve for x: 81 ^-2 : 729 ^1-X = 9 ^2x

x=0

Step-by-step explanation:

(1): "^-2" was replaced by "^(-2)".

rearrange the equation: x/81^(-2)/729^1-x-(9^2*x)=0

STEP

1

:

1.1 9 = 32

(9)2 = (32)2 = 34

Equation at the end of step

1

:

x

(—————— ÷ (7291)-x)-(34•x) = 0

(81-2)

STEP

2

:

2.1 729 = 36

(729)1 = (36)1 = 36

Equation at the end of step

2

:

x

(—————— ÷ 36 - x) - 34x = 0

(81-2)

STEP

3

:

3.1 81 = 34

(81)-2 = (34)(-2) = (3)(-8)

Equation at the end of step

3

:

x

(——————— ÷ 36 - x) - 34x = 0

(3)(-8)

STEP

4

:

1

Divide x by ——

38

Equation at the end of step

4

:

38x

(——— - x) - 34x = 0

36

STEP

5

:

38x

Simplify ———

36

Dividing exponents:

5.1 38 divided by 36 = 3(8 - 6) = 32

Equation at the end of step

5

:

(9x - x) - 34x = 0

STEP

6

:

Equation at the end of step 6

-73x = 0

STEP

7

:

Solving a Single Variable Equation:

7.1 Solve : -73x = 0

Multiply both sides of the equation by (-1) : 73x = 0

Divide both sides of the equation by 73:

x = 0

One solution was found :

x=0