Find the value of m for which 9m÷3-² =9⁴
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razzkumar96:
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Answered by
11
Answer:
Step-by-step explanation:
=>9^m ÷3‐²=9⁴
=>(3²)^m ÷3-²=(3²)⁴
=>3 ²^m+²=3⁸ [ use laws of exponents]
Now, as all the base are same then we should only compare the powers:
=>2m+2=8
=>2m=8-2
=>m =6/2
=>m=3
Therefore, value of m is 3. Ans.
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