Question

VERIFY (-2)^5*(-2)^3=(-2)^8

Answer 1

Step-by-step explanation:

LHS

$-2^{5}$×$-2^{3}$

We know that $x^{y}$×$x^{z}$ = $x^{y+z}$

∴ $-2^{5}$×$-2^{3}$ = $-2^{5+3}$

               = $-2^{8}$ = RHS

LHS = RHS

Hence, verified.

           or

LHS

$-2^{5}$×$-2^{3}$ = -32 × -8

            =  256

RHS

$-2^{8}$ = 256

LHS = RHS

Hence verified.

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