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
Resolver la siguiente desigualdad : x^2 - 7x + 12 ≤ 0
stira [4]
I hope this helps you

5 0
3 years ago
Pls help see the picture posted
Aleks [24]
I hope this helps you
5 0
3 years ago
What numbers are mulitply and equals negative 30 and when add equals to negative 25
timofeeve [1]
This is impossible without getting a never ending decimal somewhere between 1.14 and 1.15.
3 0
3 years ago
Rewrite the fraction 5 over 4 as an equivalent fraction with a denominator equal to 16
irakobra [83]
5/4=
20/16
Answer: 20/16
4 0
3 years ago
Read 2 more answers
Sam bought a soft drink for 4 dollars and 7 candy bars . he spent a total of 18 dollars. how much did each candy bar cost?
Masteriza [31]
18 dollars - 4 dollars for the drink = 14 dollars after you take out the drink
$14 divided by 7 candy bars = $2 per candy bar

8 0
3 years ago
Other questions:
  • Section 208 of nassau veterans Memorial Coliseum has 17 rows. The first row has 13 seats in it. If you add two seats to the prev
    12·1 answer
  • Find any values of x that must be excluded from the domain. This part really confuses me.
    13·2 answers
  • What is (mixed numbers) 4 and 1/4, 4 and 1/8, 5 and 10/11, 4 and 2/12 in order from least to greatest???​
    14·1 answer
  • What did you notice is the same in all the expressions?
    12·2 answers
  • determine the intercepts of the line that correspond to the following table of values. -14,9 -10,18 -6,27
    10·1 answer
  • Given that,<br>2a + 5b=22<br>b = 2<br>Find the value of a.​
    15·2 answers
  • Can someone help me with this question
    13·1 answer
  • A whitetail deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Whi
    7·1 answer
  • PLEASEEEE HELP MEEEEEEEEEEEE
    6·1 answer
  • Please help me!!!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!