Answer:
Step-by-step explanation:
To find an equivalent expression, we can simplify the given expression by canceling out common factors in the numerator and denominator.
Given expression:
55
�
7
�
6
11
�
11
�
8
11X
11
Y
8
55X
7
Y
6
We can simplify by canceling out common factors:
55
11
×
�
7
�
11
×
�
6
�
8
11
55
×
X
11
X
7
×
Y
8
Y
6
=
5
×
�
7
−
11
×
�
6
−
8
=5×X
7−11
×Y
6−8
=
5
×
�
−
4
×
�
−
2
=5×X
−4
×Y
−2
Now, we can rewrite the expression with positive exponents:
=
5
�
4
�
2
=
X
4
Y
2
5
So, the expression equivalent to
55
�
7
�
6
11
�
11
�
8
11X
11
Y
8
55X
7
Y
6
is
5
�
4
�
2
X
4
Y
2
5
.