Simplify

3 to the power of 1 over 10

3 to the power of 3 over 5

3 to the power of 9 over 10

3 to the power of 7 over 10

Option D, 3 to the power of 7 over 10

Step-by-step explanation:

Step 1:  Change into a number with an exponent

3^(1/2)

Step 2:  Change into a number with an exponent

= (3)^1/5

Step 3:  Convert into same denominator

1/2 * 5/5 -> 5/10

1/5 * 2/2 -> 2/10

Step 4:  Multiply

3^(5/10) * 3^(2/10)

3^(5/10 + 2/10)

3^(7/10)

 Option D, 3 to the power of 7 over 10

2

step-by-step explanation:

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.