Math, asked by brawlmadnesschannel, 3 months ago

Simplify
x^-2y^10z^-8/(x^3 y^2 z^3)^4 *
(x^3 y^2) (3xy^5)^2/9x4 y9​

Answers

Answered by myselfratnaray
0

Answer:

Move

(

x

2

y

2

)

4

to the numerator using the negative exponent rule

1

b

n

=

b

n

.

(

(

3

x

y

5

)

3

(

x

2

y

2

)

4

)

2

Rewrite the expression using the negative exponent rule

b

n

=

1

b

n

.

(

(

3

x

1

y

5

)

3

(

x

2

y

2

)

4

)

2

Multiply

3

x

1

y

5

.

Tap for more steps...

(

(

x

3

y

5

)

3

(

x

2

y

2

)

4

)

2

Move

3

to the left of

x

.

(

(

3

x

y

5

)

3

(

x

2

y

2

)

4

)

2

Use the power rule

(

a

b

)

n

=

a

n

b

n

to distribute the exponent.

Tap for more steps...

(

3

3

x

3

(

y

5

)

3

(

x

2

y

2

)

4

)

2

Raise

3

to the power of

3

.

(

27

x

3

(

y

5

)

3

(

x

2

y

2

)

4

)

2

Multiply the exponents in

(

y

5

)

3

.

Tap for more steps...

(

27

x

3

y

15

(

x

2

y

2

)

4

)

2

Rewrite the expression using the negative exponent rule

b

n

=

1

b

n

.

(

27

x

3

y

15

(

1

x

2

y

2

)

4

)

2

Combine

1

x

2

and

y

2

.

(

27

x

3

y

15

(

y

2

x

2

)

4

)

2

Apply basic rules of exponents.

Tap for more steps...

(

27

x

3

y

15

y

8

x

8

)

2

Cancel the common factor of

x

3

.

Tap for more steps...

(

27

y

15

y

8

x

5

)

2

Cancel the common factor of

y

8

.

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(

27

y

7

1

x

5

)

2

Multiply

27

y

7

and

1

x

5

.

(

27

y

7

x

5

)

2

Change the sign of the exponent by rewriting the base as its reciprocal.

(

y

7

x

5

27

)

2

Use the power rule

(

a

b

)

n

=

a

n

b

n

to distribute the exponent.

Tap for more steps...

(

y

7

)

2

(

x

5

)

2

27

2

Simplify the numerator.

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y

14

x

10

27

2

Raise

27

to the power of

2

.

y

14

x

10

729

()

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