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Anyone help me. ....​

Anyone help me. ....​-example-1
User N Randhawa
by
2.8k points

1 Answer

22 votes
22 votes

Answer:

see explanation

Explanation:

Using the rules of exponents

All the exponents inside the parenthesis are multiplied by the exponent outside the parenthesis.

Then


(m^(-7)n^(14) )/(m^(-25)n^(40) ) ÷
(m^(-21)n^(42) )/(m^(-25)n^(40) )

[ Using the rule
(a^(m) )/(a^(n) ) =
a^((m-n)) ]

=
m^((-7-14))
n^((14-(-28)) ÷
m^((-15-10))
n^((25-(-15))

=
m^(-21)
n^(14+28) ÷
m^(-25)
n^(25+15)

=
(m^(-21)n^(42) )/(m^(-25)n^(40) )

=
m^((-21-(-25)))
n^((42-40))

=
m^((-21+25))

=
m^(4) n² =
m^(x)
n^(y) , so x = 4 and y = 2

Then


m^(x-2y) =
m^(4-2(2)) =
m^(4-4) =
m^(0) = 1 ← as required

User Michael Mammoliti
by
2.7k points
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