MATH SOLVE

3 months ago

Q:
# I need help. Simplify square root of 5 multiplied by the cube root of 5. A.)5 to the power of 5 over 6 B.)5 to the power of 1 over 6 C.)5 to the power of 2 over 3 D.)5 to the power of 7 over 6

Accepted Solution

A:

Simplifying

2

β

5

3

β

5

gives

5

5

6

, or approximately 3.8236.

To simplify this expression, the two rules we will use are as follows:

n

β

a

=

a

1

n

a

m

a

n

=

a

m

+

n

Applying these two rules, the simplification process is as follows:

2

β

5

3

β

5

=

5

1

2

5

1

3

=

5

1

2

+

1

3

=

5

5

6

β

3.8236

Using our rules of exponents, we get that simplifying

2

β

5

3

β

5

gives

5

5

6

, or approximately 3.8236.

2

β

5

3

β

5

gives

5

5

6

, or approximately 3.8236.

To simplify this expression, the two rules we will use are as follows:

n

β

a

=

a

1

n

a

m

a

n

=

a

m

+

n

Applying these two rules, the simplification process is as follows:

2

β

5

3

β

5

=

5

1

2

5

1

3

=

5

1

2

+

1

3

=

5

5

6

β

3.8236

Using our rules of exponents, we get that simplifying

2

β

5

3

β

5

gives

5

5

6

, or approximately 3.8236.