Question

Find value of k so that (−2)k+1 X (−2)5 = (−2)7​

Answer 1

Step-by-step explanation:

$\huge\sf\underline\red{answer}$

(-2)k+1×(-2)5= (-2)7

-2k+1-10= -14

-2k-9 = -14

-2k = -14+9

-2k = -5

k=5/2

$\huge\fcolorbox{black}{pink}{verification}$

by substituting the value of k in the equation

(-2)5/2+1×(-2)5=(-2)7

-5+1-10= -14

-15+1= -14

-14 = -14

$\huge\bf\underline\green{hence proved}$

.: value of k= 5/2

Answer 2

Step-by-step explanation:

$( - 2)k + 1 \times ( - 2)5 = ( - 2)7 \\ - 2k + 1 \times - 10 = - 14 \\ - 2k - 10 = - 14 \\ - 2k = - 14 + 10 \\ - 2k = - 4 \\ k = \frac{ - 4}{ - 2} \\ k = 2$

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