1.

Find the value of k , if (-2)^k+1 x (-2)^3 =(-2)^7

Answer»

Hi!

The answer for your question is k = 3

Step-by-step explanation:

(-2)^{k+1} × (-2)^{3} = (-2)^{7}

By the laws of EXPONENTS, a^{m} × a^{n} = a^{m+n}

So, applying it here,

(-2)^{k+1+3} = (-2)^{7}

(-2)^{k+<klux>4</klux>} = (-2)^{7}

Since the BASES are equal, we can equate their powers. So,

k + 4 = 7

k = 7 - 4 = 3

I hope it helps

Enjoy Learning!

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