Question

Exponents and Powers Question

Answer 1

Answer:

3'm ÷ 3‘³ =3'5

So, 3'm-(-3) = 3'5

So,

M = 2

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Answer 2

Question:

Find the value of m for which 3ⁿ ÷ 3⁻³ = 3⁵.

Answer:

n = 2

Explanation:

We know that,

aᵃ ÷ aᵇ = aᵃ⁻ᵇ

∴ 3ⁿ ÷ 3⁻³ = 3⁵

⇒ 3ⁿ ⁻ ⁽⁻³⁾ = 3⁵

3ⁿ⁺³ = 3⁵

As the base is same, therefore we may avoid it.

∴ n + 3 = 5

∴ n = 2

$\large{\boxed{\pink{n = 2}}}$