Question
Find the value of m and n, if 6−5×5−2×63×5m×6n=1. [4 MARKS]
Answer:
:
Steps: 2 Marks
Application: 1 Mark
Answer: 1 Mark
6−5×5−2×63×5m×6n=1
6−5×63×6n×5−2×5m=1
6−5+3+n×5−2+m=1
6−2+n×5−2+m=1
The bases of both the numbers are not equal.
So, the value will be equal to 1, when the exponents of these bases will be equal to zero.
Any non - zero number raised to the powerzero is 1.
So, the exponents of both 6 and 5 are zero.
Therefore,
−2+m=0⇒m=2
−2+n=0⇒n=2
∴m=n
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:
Steps: 2 Marks
Application: 1 Mark
Answer: 1 Mark
6−5×5−2×63×5m×6n=1
6−5×63×6n×5−2×5m=1
6−5+3+n×5−2+m=1
6−2+n×5−2+m=1
The bases of both the numbers are not equal.
So, the value will be equal to 1, when the exponents of these bases will be equal to zero.
Any non - zero number raised to the powerzero is 1.
So, the exponents of both 6 and 5 are zero.
Therefore,
−2+m=0⇒m=2
−2+n=0⇒n=2
∴m=n
Was this answer helpful ?
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