Question

(-3)ⁿ⁺¹ x (-3)⁵ = (-3)⁻⁴ Find the value of ‘n’.

Answer 1

(-3)ⁿ⁺¹ × (-3)⁵ = (-3)⁻⁴

(-3)ⁿ⁺¹⁺⁵ = (-3)⁻⁴

[ mⁿ × mˣ = mⁿ⁺ˣ ]

(-3)ⁿ⁺⁶ = (-3)⁻⁴

On comparing both side ,

We get bases are same,
hence,

n + 6 = -4

n = - 4 - 6

n = -10

Answer 2

Hola!!

HERE IS THE ANSWER

(-3)ⁿ⁺¹ x (-3)⁵ = (-3)⁻⁴

The bases are same so powers be will added

so,

(-3)ⁿ⁺¹ x (-3)⁵ = (-3)⁻⁴

$( { - 3})^{n + 1 + 5} = ({ - 3})^{ - 4} \\ ( { - 3})^{n + 6} =( { - 3)}^{ - 4}$
By comparison we have

$n + 6 = - 4 \\ n = - 4 - 6 \\ n = - 10$

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