1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Viefleur [7K]
3 years ago
13

Simplify each exponential expression using the properties of exponents and match it to the correct answer.

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

1) (2\times3^-2)^3 (5\times3^2)^2 / (3^-2)(5\times2)^2 = 2

2) (3^3) (4^0)^2 (3\times2)^-3 (2^2) = 1/2

3) (3^7\times4^7) (2\times5)^-3 (5)^2 / (12^7) (5^-1) (2^-4) = 2

4) (2.3)^-1 (2^0) / (2.3)^-1 = 1

<u>Step-by-step explanation</u>:

Step 1 :

(2\times3^-2)^3 (5\times3^2)^2 / (3^-2)(5\times2)^2

⇒ (2^3) (3^-6) (5^2) (3^4) / (3^-2) (10^2)

⇒ (2.2^2.5^2) (3^-6.3^4) / (3^-2) (10^2)

⇒ (2)(10^2) (3^-2) / (3^-2) (10^2)

⇒ 2

Step 2 :

(3^3) (4^0)^2 (3\times2)^-3 (2^2)

Any number with power 'zero' is 1.

⇒ (3^3) (1^2) (3^-3) (2^-3) (2^2)

⇒ (2^(-3+2))

⇒ 2^-1 = 1/2

Step 3 :

(3^7\times4^7) (2\times5)^-3 (5)^2 / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (2^-3) (5^(-3+2)) / (5^-1) (2^-4)

⇒ (2^-3) (5^-1) / (5^-1) (2^-4)

⇒ 1 / (2^-1)

⇒ 2

Step 4 :

(2.3)^-1 (2^0) / (2.3)^-1

⇒ (2^0)

⇒ Any number with power 'zero' is 1

⇒ 1

You might be interested in
21. Andre grew a plant for a science experiment. At the end of his
kotegsom [21]

Answer:

he answer is 140 minutes to plant 14 saplings.

Step-by-step explanation:

30 divided by 3=10

so it takes 10 minutes to plant one sapling.

10x14=140 so this is how you get your answer. im 99% sure

4 0
3 years ago
Read 2 more answers
Which expression and diagram represent “Renee biked four times as far this month as last month”? 4 x right-arrow 4 boxes with x
ANTONII [103]

Answer:

i think it is c or d

Step-by-step explanation:

4 0
3 years ago
Evaluate the expression when a= -3 and C = 6 <br><br>8c - a<br><br><br>​
Sav [38]

Answer:

51

Step-by-step explanation:

plug in

8(6)- (-3)

48-(-3)

51

8 0
3 years ago
Read 2 more answers
Help pls I’ll give points
alukav5142 [94]
It is the answer number 2
3 0
2 years ago
Read 2 more answers
A teacher knows that 15% of the pencils borrowed by her students are NOT returned. The teacher
vitfil [10]

Answer:

Step-by-step explanation:

80 -15 =65 so she would get 65 pencils back

3 0
2 years ago
Read 2 more answers
Other questions:
  • Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub
    12·2 answers
  • The product of two numbers is 713. The first number is 9 more than the second number. Which equation can be used to find x, the
    14·2 answers
  • The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = . What is the value of b?
    7·2 answers
  • Please help with this. I cannot figure out the units. the pi is 36pi
    12·2 answers
  • You plant a tree that is 3 feet tall originally. Then it grows 4 feet
    15·2 answers
  • 680<br> 1420<br> What is the measure of angle z?
    5·2 answers
  • Using the image above, set up the equation that would help to determine the value<br> of angle x.
    7·1 answer
  • The value of y varies directly with x. When y = 75, x = ½ . What is the value of y when x is 2 ¼ ? A. 168.75 C. 66.67 B. 16.67 D
    15·1 answer
  • BRAINLIEST TO WHOEVER ANSWERS CORRECLTY
    9·2 answers
  • For the graphed function f(x) = (4)x - 1 + 2, calculate the average
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!