PLEASE HELP!!!!!! Which expressions are equivalent to 1/81 ? Check all that apply.8^ -1

9^ -2

9^ 8/9^4

9^8/9^10

9^ -6 · 9^3

9^5 · 9^ -7

Answers

Answer 1

Answer:

Answer:

$9^(-2)\n\n(9^(8))/(9^(10))\n\n9^(5)*9^(-7)$

Step-by-step explanation:

Let's evaluate the answers.

Think of numbers with negative exponents as numbers on the wrong side of the fraction. So if you have a negative exponent, you put it at the bottom of the fraction or up and then you remove the negative sign.

So let's take the first answer:

$9^(-2) \:is\:actually\:equal\:to\: (1)/(9^(2))\n\n(1)/(9^(2)) = (1)/(81)}$

Now the next one, according to the law of exponents, when dividing we subtract the exponents. (But this only applies if the coefficients are the same!)

$(m^(x))/(m^(y)) = m^(x-y)$

Applying this rule to the second answer:

$(9^(8))/(9^(10)) = 9^(8-10) = 9^(-2)=(1)/(9^(2)) = (1)/(81)$

The third one:

$9^5*9^(-7) = (9^5)/(9^(7)) = 9^(5-7) = 9^(-2) = (1)/(9^2) = (1)/(81)$

If you apply the same rules to the rest of the choices, you wil find that they are not equivalent to 1/81.

Answer 2

Answer:

The expressions that are equivalent to 1/81 are $9^(-2)$ , $(9^8)/(9^(10))$ , and $9^5 \cdot 9^(-7)$ .

To determine which expressions are equivalent to 1/81, we can simplify each expression and check if it equals 1/81.

$8^(-1)$ : This expression is equivalent to 1/8, not 1/81. Therefore, it is not equivalent. $9^(-2)$ : This expression is equivalent to 1/9², which simplifies to 1/81. Therefore, it is equivalent to 1/81. $(9^8)/(9^4)$ : This expression simplifies to $9^((8-4)) = 9^4$ , which is not equal to 1/81. Therefore, it is not equivalent. $(9^8)/(9^(10))$ : This expression simplifies to $9^((8-10)) = 9^(-2)$ , which is equivalent to 1/9². Therefore, it is equivalent to 1/81. $9^((-6)) \cdot 9^3$ : This expression simplifies to $(1)/(9^6) \cdot 9^3 = 1/729$ . Therefore, it is not equivalent. $9^5 \cdot 9^((-7))$ : This expression simplifies to $9^((5-7)) = 9^((-2))$ , which is equivalent to 1/9². Therefore, it is equivalent to 1/81.

Thus, the expressions that are equivalent to 1/81 are $9^(-2)$ , $(9^8)/(9^(10))$ , and $9^5 \cdot 9^(-7)$ .

Learn more about the expression here :

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Lisa is seven times as old as her brother. She will be four times as old as her brother in three years. Represent the above situation in mathematical form.

Answers

Answer:

Let B = the brothers age now

Let L = Lisa's age now

Then today:

L = 7B

And three years from now, Lisa's current age plus 3 equals 4 times the brothers age plus 3 represented by the following formula

L+3 = 4(B+3)

Now we can substitute the value of L in the first formula for L in the second formula

7B + 3 = 4(B+3)

So the answer is C

Step-by-step explanation:

Which is a counterexample for the conditional statement shown?If the numerator of a fraction is larger than the denominator of the fraction, then the fraction is greater than 1.

any fraction with a denominator of O

any fraction with a numerator of O

any fraction with a positive numerator and a negative denominator

any fraction with a negative numerator and a positive denominator

Answers

Answer: It is c

Step-by-step explanation: Im doing the test and did some research.

But if you are seweing this on 9/22/2020 please wait for me to put the confirmed answer in the comments.

Answer:

It's c

Step-by-step explanation:

Given ΔGHJ, complete the following statements. The included angle of sides JG and GH is angle . Angle H is the opposite angle to side . The side opposite to ∠J is side .

Answers

Answer with explanation:

First Draw ΔG H J, and name the vertices of triangle in same order from G,to H to J.

→→The included angle of sides JG and G H is angle G.

→→Angle H is the opposite angle to side G J.

→→ The side opposite to ∠J is side G H.

If you will interchange the vertices of triangle and write it in any order you will get the same result.There are 6 ways ,

ΔG H J, ΔH G J, ΔH JG, ΔG J H ,ΔJ HG, ΔJ G H.

G , JG, GH is the answer i think

What is the value of z in the equation 2(4z − 9 − 7) = 166 − 46?19
21
26
34

Answers

The value of z in the following equation 2(4z − 9 − 7) = 166 − 46 is 19. Details about solving equations can be found below.

How to solve algebraic expressions?

An algebraic equation is a mathematical equation in which one or both sides is an algebraic expression, such as 2x + 7y = 3.

The following algebraic equation is given in this question; 2(4z − 9 − 7) = 166 − 46. The value of z can be calculated as follows:

8z -18 - 14 = 120

8z - 32 = 120

8z = 152

z = 152/8

z = 19

Therefore, the value of z in the following equation 2(4z − 9 − 7) = 166 − 46 is 19.

Learn more about algebraic equation at: brainly.com/question/953809

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2(4z-9-7)=166-46 well, perentices (however u spell these things) first, -9-7 = -16 so 2(4z-16)=166-46 and distributive property so 8z-32=166-46, 166-46 = 120, so 8z-32=120, add 32 to both sides, which would be 8z=152 divide both by 8, z=19

What are the prime factor of 625a. 25.25
b.1,5,5,5,5
c.5,5,25
d.5,5,5,5

Answers

d.5,5,5,5. A prime number is a number only divisible by 1 and itself. 1 is not a prime number.

   625
       ∧
25   ×   25
   ∧     ∧
5 × 5 × 5 × 5

The answer is D.

1) Which line has a negative slope?2) Which line has a slope of zero

3) Which line has a y- intercept at (0, -2) ?

4) Which line has a slope of 1/2

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6) Which line is the graph of the equation y = x + 3?