Question

6m/6-³=6⁵ find value of m​

Answer 1

Answer:

required answer answer , m = 6

Answer 2

Answer:

The value of m = 2

Step-by-step explanation:

Given

• 6ᵐ/6⁻³ = 6⁵

We need to find the value of m.

Using Quotient law,

• aᵐ/aⁿ = aᵐ⁻ⁿ, if m > n
• aᵐ/aⁿ = 1/aᵐ⁻ⁿ, if n > m

We have:

• 6ᵐ ⁻ ( ⁻³ ) = 6⁵

Remember that - - = +

• 6ᵐ + ³ = 6⁵

Now, bases are same then powers are equal.

( Here, 6 ( left hand side ) and 6 ( right hand side ) both are same so there powers are equal.

• m + 3 = 5

Transposing 3 on right hand side, we have:

• m = 5 - 3

• m = 2

∴ The value of m = 2

Verification:

R.H.S

• 6²/6⁻³
• 6² ⁻ ( ⁻³ )
• 6² + ³
• 6⁵

= L.H.S

Hence Proved!!

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