All categories

2 years ago

Please explain how to solve this step by step.

Mathematics

1 answer:

Phantasy [73]2 years ago

5 0

Answer:

(a^8)/(b^9)

Step-by-step explanation:

Two rules of exponents come into play.

(a^b)/(a^c) = a^(b-c)

a^-b = 1/a^b

Applying the first rule, we have ...

(a^3)/(a^-5) × (b^-2)/(b^7) = a^(3 -(-5)) × b^(-2 -7) = a^8 × b^-9

Applying the second rule gives the simplified form ...

= (a^8)/(b^9)

You might be interested in

I really need someone to answer this, QUICK!

Elodia [21]

Answer:

A. LCM=72 B. GCF=7 C. 7(5+9)

Step-by-step explanation:

A. 8/2=4/2=2 9/3=3 Use the denominators to find the LCM. In this case, the LCM is 72.

B. 35/5=7 63/3=21/3=7 The GCF for these numbers is 7 because it is the only factor that they have in common.

C. 7 x 14=88 Since 5 and 9 don't have common factors, they work perfectly for this problem.

6 0

2 years ago

Find the product of the roots of the equation<br> xl-5x - 36 = 0

Marat540 [252]

Answer:

Step-by-step explanation:

Hello, I assume that you mean

$x^2-5x-36$

The product is -36.

$x_1 \text{ and } x_2 \text{ are the two roots, we can write}\\\\(x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1\cdot x_2$

So in this example, it means that the sum is 5 and the product is -36.

Thank you

5 0

3 years ago

Select all the correct answers.

ohaa [14]

Answer:

Lines 3 and 4

Step-by-step explanation:

ignore this rjrjrjrjrrnrnnrnrrnnr

8 0

3 years ago

A cook wants to make enough cookies for 150 students. The cookie recipe makes 1 dozen cookies. A dozen equals 12 cookies.

lesya692 [45]

Answer:

12.5

Step-by-step explanation:

150 / 12 = 12.5

(I'm not the best at explaining-)

3 0

2 years ago

Please help me I will give you the brain thing and extra points. (image below) 18/30

uranmaximum [27]

Answer:

Step-by-step explanation:

sjsjsjsjsjjsjsjsjdjdjjdjdjs

6 0

3 years ago

Read 2 more answers