All categories

2 years ago

9^2 times 9^-6 exponential form

Mathematics

1 answer:

Scrat [10]2 years ago

7 0

The result of the expression in exponential form is 9^-4

<h3>Product of exponents</h3>

Given the expression below

$9^2 \times 9^{-6}$

According the product law, since the base are equal, we will add the exponent to have:

$9^2 \times 9^{-6}=9^{-6+2}\\9^2 \times 9^{-6} = 9^{-4}$

Hence the result of the expression in exponential form is 9^-4

Learn more on exponents here; brainly.com/question/11975096

#SPJ1

You might be interested in

Simplifie 8m2+3m+m3+4

mash [69]

Answer:

$15+m^{6}$

Step-by-step explanation:

$8m^{2} +3m+m^{3}+4\\8+4+3+m^{3} +m^{2} +m\\8+4+3+m^{6} \\15+m^{6}$

5 0

2 years ago

A group of ten numbers totals -4. What is the average value of this group of numbers?

STatiana [176]

Which equation represents g(x)

3 0

3 years ago

F(x) = 5x + 4 g(x) = 5x2 – 7x – 2 Find: f(x) · g(x)

weeeeeb [17]

Answer:

$25x^{3}-15x^{2} -38x-8$

Step-by-step explanation:

Multiply the equations together

(5x+4)(5x^2-7x-2)

25x^3-35x^2-10x+20x^2-28x-8

Add like terms

25x^3-15x^2-38x-8

7 0

3 years ago

8х + 5у = -7 — 7х + бу = — 4

Levart [38]

Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

⇒8x= -5y -7

⇒x= -5y-7 / 8 →(3)

Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

7(-5y-7/8)-6y=4

⇒-35y-49-48y=32

⇒-83y-49=32

⇒-83y=32+49

⇒-83y=81

⇒y= 81 / -83

⇒y= -0.9759→(4)

Now, Putting y= -0.9759 in equation (3), we get

x= -5y-7

x= -5(-0.9759)-7/8

⇒x= 4.8795-7/8

⇒x= -2.1205/8

⇒x= -0.2651

∴x= -0.2651 and y = -0.9759

7 0

3 years ago

Pls do it for me thank you so much

Bond [772]

Answer:

(a) Attached to this response.

(b)

(i) 0 cups = 0.275

(ii) 4 cups = 0.125

(iii) 8 cups = 0.025

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7 ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;

the relative frequency of 0 = 0.275

(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;

the relative frequency of 4 = 0.125

(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;

the relative frequency of 8 = 0.025

Download docx

5 0

3 years ago