find the value of n if (2 by 9)^2*(2 by 9)^6=(2 by 9 )^ 2n
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Answer:
(
9
2
)
3
×(
9
2
)
6
=(
9
2
)
2m−1
⇒(
9
2
)
3+6
=(
9
2
)
2m−1
Since bases are same, we can equate the powers,
⇒9=2m−1
⇒2m=10 or m=
2
10
=5
∴m=5
Step-by-step explanation:
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