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Which expressions are equivalent to the one below? Check all that apply. 9^x

AveGali [126]

Answer:

A) $3^{x}*3^{x}$

B) $3^{2x}$

C) $(3 * 3)^{x}$

Step-by-step explanation:

Given the exponential expression, $9^{x}$ :

A) $3^{x}*3^{x}$ is equivalent to $9^{x}$ due to the Product Rule of exponents: $a^{m} a^{n} = a^{m + n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x}$

Next, apply the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x} = (3^{2})^{x} = 9^{x}$

B) $3^{2x}$ is equivalent to $9^{x}$ due to the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{2x} = (3^{2})^{x} = (9)^{x} = 9^{x}$ .

C) $(3 * 3)^{x}$ is equivalent to $9^{x}$ due to the Product-to-Power Rule of exponents: $(ab)^{m} = a^{m} b^{m}$ .

$(3 * 3)^{x} = (9)^{x} = 9^{x}$

5 0

2 years ago

Which equation has a solution of n = 4?

Allushta [10]

Answer:

D. 7n = 28

Step-by-step explanation:

Let's substitute 4 for n in each equation to check if it the resulting equation is correct:

$6+n=24\\ 6+4=24\\ 10\neq 24\rightarrow \text{Incorrect!}$

$5n=54\\5(4)=54\\20\neq54\rightarrow\text{Incorrect!}$

$12-n=16\\12-4=16\\8\neq16\rightarrow\text{Incorrect!}$

$7n=28\\7(4)=28\\28=28\rightarrow\text{Correct!}$

Therefore the answer is D

4 0

2 years ago

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Which of these debts could possibly be forgiven under Chapter 7 bankruptcy? A. Credit Card Debt B. Child Support C. Alimony D. A

a_sh-v [17]

Chapter 7 - Bankruptcy is a very beneficial means for those facing severe financial uncertainty or debts. And even though it cannot remove all your liability, it can help you eliminate a number of arrears so you can begin working to reestablish your credit score. These are the debts which are not forgiven in Chapter 7: student loans, child support, alimony payments, majority of taxes you owe and secured or collateral debts.

So the answer is A. Credit Card. A credit card debt can be forgiven under chapter 7 because it is the main reason why people file for bankruptcy just to discharge their credit card balance.

4 0

3 years ago

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Which statement describes the relationship between x and y in these two equations

Eva8 [605]

Answer:

which 2 equations

Step-by-step explanation:

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need full information

7 0

3 years ago

The wheels on Noah's bike have a circumference of about 5 feet. How far does the bike travel as the wheels makes 15 complete rot

grin007 [14]

Answer:

75 feet

Step-by-step explanation:

If the circumference of the wheels is 5 feet, every full rotation the bike will travel 5 feet. Therefore, after 15 full rotations the bike will travel 15 * 5 = 75 feet.

8 0

3 years ago

Read 2 more answers

4 pencils costsGH¢ 2.oofind the costof 20 pencils​

4 pencils costsGH¢ 2.oofind the costof 20 pencils