Simplify the following expression. m−43⋅m119 m−5,117 m−76 m76 m−162
Answers
Step-by-step explanation:
Move
(
3
m
−
2
n
)
−
3
(3m-2n)-3 to the denominator using the negative exponent rule
b
−
n
=
1
b
n
b-n=1bn.
1
6
m
n
−
2
(
3
m
−
2
n
)
3
16mn-2(3m-2n)3
Move
n
−
2
n-2 to the numerator using the negative exponent rule
1
b
−
n
=
b
n
1b-n=bn.
n
2
6
m
(
3
m
−
2
n
)
3
n26m(3m-2n)3
Simplify the denominator.
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n
2
6
m
(
27
1
m
6
)
n
3
n26m(271m6)n3
Simplify the denominator.
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n
2
m
⋅
162
n
3
m
6
n2m⋅162n3m6
Reduce the expression
m
⋅
162
n
3
m
6
m⋅162n3m6 by cancelling the common factors.
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n
2
162
n
3
m
5
n2162n3m5
Multiply the numerator by the reciprocal of the denominator.
n
2
m
5
162
n
3
n2m5162n3
Cancel the common factor of
n
2
n2.
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m
5
162
n
m5162n
(
3
m
−
2
n
)
−
3
6
m
n
−
2
(3m-2n)-36mn-2
(
3
m
−
2
n
)
−
3
6
m
n
−
2
n
(3m-2n)-36mn-2n
(
3
m
−
2
n
)
−
3
6
m
n
−
2
n
2
(3m-2n)-36mn-2n2
(
3
m
−
2
n
)
−
3
6
m
n
−
2
n
3
(3m-2n)-36mn-2n3
(
Answer:
Simplify the following mathematical expressions using ... b.54+9{43- 26-22}÷3[16+3×3-(4×5)] c.