Question

Evaluate:[(-6/5) ^-2×(-6/5) ^-3]^-1​

Answer 1

(-6/5) is your answer

plzz mark me

Answer 2

[(-6/5)^-2 × (-6/5)^-3]^-1

We know that, (a/b) ^-n = (b/a)^n

So,

[(-6/5)^-2 × (-6/5)^-3]^-1

[(-5/6)^2 × (-5/6)^3]^-1

[(-1×5/6)^2 × (-1×5/6)^3]^-1

[(-1)^2.(5/6)^2 × (-1)^3.(5/6)^3]^-1

{Property used :- (a×b)^n = a^n×b^n}

[-1×(5/6)^2 × (5/6)^3]^-1

[-(5/6)^2+3]^-1

[-(5/6)^5]^-1

-(5/6)^-5

-(6/5)^5

(-6/5)^5

Hope it will help you ✌️