Question

simplify (3^-6)^1/3​

Answer 1

Answer:

Enter a problem...

Basic Math Examples

Popular Problems Basic Math Simplify 3 1/3-4/6

3

1

3

−

4

6

Convert the mixed number

3

1

3

into an improper fraction first by multiplying the denominator

(

3

)

by the whole number part

(

3

)

and add the numerator

(

1

)

to get the new numerator. Place the new numerator

(

10

)

over the old denominator

(

3

)

.

10

3

−

4

6

Reduce the expression by cancelling the common factors.

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10

3

−

2

3

Combine the numerators over the common denominator.

10

−

2

3

Subtract

2

from

10

.

8

3

The result can be shown in multiple forms.

Exact Form:

8

3

Decimal Form:

2.

¯

6

Mixed Number Form:

2

2

3

Answer 2

Answer:

$\huge{{ ({3}^{ - 6}) }^{ \frac{1}{3} } = \frac{1}{ {3}^{2} } = \frac{1}{9}}$

Step-by-step explanation:

$\huge{( { {3}^{ - 6} })^{ \frac{1}{3} }}$

$\huge{= {(3)}^{ - 6 \times \frac{1}{3} }}$

$\huge{= {(3)}^{ - 2 \times 1}}$

$\huge{= ( {3})^{ - 2}}$

$\huge{= \frac{1}{ {3}^{2} }}$

$\huge{= \frac{1}{9}}$