Question

please explain step by step ​

Answer 1

Answer:

$k = 3$

Step-by-step explanation:

${ - 2}^{k + 1} \times { - 2}^{3} = { - 2}^{7}$

${ - 2}^{k + 1 + 3} = { - 2}^{7}$

$bases \: are \: same \: so \: powers \: can \: be \: equated$

$k + 4 = 7$

$k = 3$

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Answer 2

Answer:

k = 3

Step-by-step explanation:

(-2) power k+1 × (-2)³ = (-2) power 7

as the bases are same equate the powers...

as per the law of exponent

a^m × a^n = a^m+n

k+1+3 = 7

k+4 = 7

k = 7- 4

k = 3//

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