3243y893

Rewrite 243y8 as (9y4)2⋅3.

Factor 81 out of 243.

381(3)y893

Rewrite 81 as 92.

392⋅3y893

Rewrite y8 as (y4)2.

392⋅3(y4)293

Move 3.

392(y4)2⋅393

Rewrite 92(y4)2 as (9y4)2.

3(9y4)2⋅393

3(9y4)2⋅393

Pull terms out from under the radical.

3⋅9y4393

Multiply 3 by 9.

27y4393

27y4393

Multiply 27y4393 by 932932.

27y4393⋅932932

Multiply 27y4393 and 932932.

27y4393293932

Raise 93 to the power of 1.

27y43932931932

Use the power rule aman=am+n to combine exponents.

27y43932931+2

Add 1 and 2.

27y43932933

Rewrite 933 as 9.

Use axn=axn to rewrite 93 as 913.

27y43932(913)3

Apply the power rule and multiply exponents, (am)n=amn.

27y43932913⋅3

Combine 13 and 3.

27y43932933

Cancel the common factor of 3.

Cancel the common factor.

27y43932933

Divide 1 by 1.

27y4393291

27y4393291

Evaluate the exponent.

27y439329

27y439329

27y439329

Factor 9 out of 27y43932.

9(3y43932)9

Cancel the common factors.

Factor 9 out of 9.

9(3y43932)9(1)

Cancel the common factor.

9(3y43932)9⋅1

Rewrite the expression.

3y439321

Divide 3y43932 by 1.

3y43932

3y43932

3y43932

Rewrite 932 as (92)13.

3y43923

Raise 9 to the power of 2.

3y43813

Factor 27 out of 81.

3y4327(3)3

Rewrite 27 as 33.

3y4333⋅33

3y4333⋅33

Pull terms out from under the radical.

3y43(333)

Multiply 3 by 3.

9y4333

Rewrite the expression using the least common index of 6.

Use axn=axn to rewrite 33 as 313.

9y4(3133)

Rewrite 313 as 326.

9y4(3263)

Rewrite 326 as 326.

9y4(3263)

Use axn=axn to rewrite 3 as 312.

9y4(326⋅312)

Rewrite 312 as 336.

9y4(326⋅336)

Rewrite 336 as 336.

9y4(326336)

9y4(326336)

Combine using the product rule for radicals.

9y432⋅336

Multiply 32 by 33 by adding the exponents.

Use the power rule aman=am+n to combine exponents.

9y432+36

Add 2 and 3.

9y4356

9y4356

9y4356

Raise 3 to the power of 5.

9y42436

Simplify (3 square root of 243y^8)/( cube root of 9)