Question

evaluate the expression (1/1000) to the 1/3 power

Answer 1

Answer:

Step-by-step explanation:

First, we can use this rule for exponents to eliminate the negative exponent:

x

a

=

1

x

−

a

1000

−

2

3

=

1

1000

−

−

2

3

=

1

1000

2

3

We can next rewrite the exponent as:

1

1000

2

3

=

1

1000

1

3

×

2

And then use this rule to rewrite the expression again:

x

a

×

b

=

(

x

a

)

b

1

1000

1

3

×

2

=

1

(

1000

1

3

)

2

We can convert the term within the parenthesis to radical form using this rule:

x

1

n

=

n

√

x

1

(

1000

1

3

)

2

=

1

(

3

√

1000

)

2

=

1

10

2

=

1

100