If x^-2/3 = 1/36, then what does x equal?

1 Use Negative Power Rule: {x}^{-a}=\frac{1}{{x}^{a}}x

−a

=

x

a

1

​

.

\frac{\frac{1}{{x}^{2}}}{3}=\frac{1}{36}

3

x

2

1

​

​

=

36

1

​

2 Simplify  \frac{\frac{1}{{x}^{2}}}{3}

3

x

2

1

​

​

  to  \frac{1}{3{x}^{2}}

3x

2

1

​

.

\frac{1}{3{x}^{2}}=\frac{1}{36}

3x

2

1

​

=

36

1

​

3 Multiply both sides by 3{x}^{2}3x

2

.

1=\frac{1}{36}\times 3{x}^{2}

1=

36

1

​

×3x

2

4 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

​

×

d

c

​

=

bd

ac

​

.

1=\frac{1\times 3{x}^{2}}{36}

1=

36

1×3x

2

​

5 Simplify  1\times 3{x}^{2}1×3x

2

  to  3{x}^{2}3x

2

.

1=\frac{3{x}^{2}}{36}

1=

36

3x

2

​

6 Simplify  \frac{3{x}^{2}}{36}

36

3x

2

​

  to  \frac{{x}^{2}}{12}

12

x

2

​

.

1=\frac{{x}^{2}}{12}

1=

12

x

2

​

7 Multiply both sides by 1212.

1\times 12={x}^{2}

1×12=x

2

8 Simplify  1\times 121×12  to  1212.

12={x}^{2}

12=x

2

9 Take the square root of both sides.

\pm \sqrt{12}=x

±

12

​

=x

10 Simplify  \sqrt{12}

12

​

  to  2\sqrt{3}2

3

​

.

\pm 2\sqrt{3}=x

±2

3

​

=x

11 Switch sides.

x=\pm 2\sqrt{3}

x=±2

3

​

1 Use Negative Power Rule: {x}^{-a}=\frac{1}{{x}^{a}}x

−a

=

x

a

1

​

.

\frac{\frac{1}{{x}^{2}}}{3}=\frac{1}{36}

3

x

2

1

​

​

=

36

1

​

2 Simplify  \frac{\frac{1}{{x}^{2}}}{3}

3

x

2

1

​

​

  to  \frac{1}{3{x}^{2}}

3x

2

1

​

.

\frac{1}{3{x}^{2}}=\frac{1}{36}

3x

2

1

​

=

36

1

​

3 Multiply both sides by 3{x}^{2}3x

2

.

1=\frac{1}{36}\times 3{x}^{2}

1=

36

1

​

×3x

2

4 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

​

×

d

c

​

=

bd

ac

​

.

1=\frac{1\times 3{x}^{2}}{36}

1=

36

1×3x

2

​

5 Simplify  1\times 3{x}^{2}1×3x

2

  to  3{x}^{2}3x

2

.

1=\frac{3{x}^{2}}{36}

1=

36

3x

2

​

6 Simplify  \frac{3{x}^{2}}{36}

36

3x

2

​

  to  \frac{{x}^{2}}{12}

12

x

2

​

.

1=\frac{{x}^{2}}{12}

1=

12

x

2

​

7 Multiply both sides by 1212.

1\times 12={x}^{2}

1×12=x

2

8 Simplify  1\times 121×12  to  1212.

12={x}^{2}

12=x

2

9 Take the square root of both sides.

\pm \sqrt{12}=x

±

12

​

=x

10 Simplify  \sqrt{12}

12

​

  to  2\sqrt{3}2

3

​

.

\pm 2\sqrt{3}=x

±2

3

​

=x

11 Switch sides.

x=\pm 2\sqrt{3}

x=±2

3

​

Step-by-step explanation:

i guess it is 1/6

Step-by-step explanation:

answer: i think it is (1,-2)