Which expression is equivalent to (3 {u}^(3) {v}^(4)) ^(2) A. 3 {u}^(5) {v}^(6) B. 3 {u}^(6) {v}^(8) C. 9 {u}^(6) {v}^(8) D. 9 {u}^(5) {v}^(6) ​

Question

Which expression is equivalent to


`(3 {u}^(3) {v}^(4)) ^(2)`
A.

`3 {u}^(5) {v}^(6)`
B.

`3 {u}^(6) {v}^(8)`
C.

`9 {u}^(6) {v}^(8)`
D.

`9 {u}^(5) {v}^(6)`
​

Answer 1

C

Explanation:

When 3 is squared, it becomes 9. That means that both A and B are incorrect.

The powers on u and v are doubled not added to become u^6 and v^8 so that makes C the only possible answer.