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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

User Habe
by
8.5k points

1 Answer

7 votes
Simplifying
2

5
3

5
gives
5
5
6
, or approximately 3.8236.

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

n

a
=
a
1
n
a
m
a
n
=
a
m
+
n
Applying these two rules, the simplification process is as follows:

2

5
3

5
=
5
1
2
5
1
3
=
5
1
2
+
1
3
=
5
5
6

3.8236
Using our rules of exponents, we get that simplifying
2

5
3

5
gives
5
5
6
, or approximately 3.8236.
User Aidis
by
8.4k points

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