182k views
4 votes
D. _116 in. 14| Find the value of x to make the equation true. n2 = (n) 19 Which number V1272 A. 5 A. x= -1 B. X=1 x = 2 D. = x= 2 C 12 D. 62 Illuminate ItembankTM C.

D. _116 in. 14| Find the value of x to make the equation true. n2 = (n) 19 Which number-example-1

1 Answer

5 votes

Ariri, this is the solution to the problem:

Let's recall that one of the properties of exponents is the Quotient of Powers, that tells us the following:


(a^x)/(a^y)=a^{x\text{ - y}},\text{ when a }\\e\text{ 0}

In consequence,

n^10/n^12 = n^10 - 12 = n ^-2

Now, we replace this way using another of the properties of the exponents, Power of Powers :

(n^x)^1 = n ^-2

n^x = n^-2

The bases are equal, we can solve this way:

x = - 2

The correct answer is

User Yarl
by
7.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories