Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Identify the law of exponents that rewrites
(
a
b
)
7
(ab)^{7}
(
ab
)
7
as
a
7
b
7
a^{7}b^{7}
a
7
b
7
. a) Power of a power rule:
(
a
m
)
n
=
a
m
n
(a^{m})^{n}=a^{mn}
(
a
m
)
n
=
a
mn
b) Product rule:
a
m
a
n
=
a
m
+
n
a^{m}a^{n}=a^{m+n}
a
m
a
n
=
a
m
+
n
c) Power of a product rule:
(
a
b
)
m
=
a
m
b
m
(ab)^{m}=a^{m}b^{m}
(
ab
)
m
=
a
m
b
m
d) Faulty distribution:
(
a
b
)
m
=
a
b
m
(ab)^{m}=ab^{m}
(
ab
)
m
=
a
b
m
Browse the problem library