Question

simplify: 2 to the power 2/3 × 2 to the power 1/5​

Answer 1

Answer:

2^13/15

Step-by-step explanation:

For indices(x^y) x^y * x^y+1 = x^y+y+1 or x^2y+1

For multiplication the powers will be added

and for division the powers will be subtracted

This only works if the base number is the same

In this case the base number is the same for both indices (2)

Answer 2

Step-by-step explanation:

2^2/3 × 2^1/5

=2^2/3+1/5

=2^10+3/15

=2^13/15