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
ruslelena [56]
3 years ago
14

Which answer is equivalent to ??? Help please

Mathematics
1 answer:
grigory [225]3 years ago
7 0

Answer:

\large\boxed{\dfrac{36}{25}}

Step-by-step explanation:

\text{Use}\ a^{-n}=\dfrac{1}{a^n}\\\\\dfrac{5^{-2}\cdot9}{2^4\cdot4^{-3}}=(5^{-2}\cdot9):(2^4\cdot4^{-3})=\left(\dfrac{1}{5^2}\cdot9\right):\left(2^4\cdot(2^2)^{-3}\right)\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\left(\dfrac{1}{25}\cdot9\right):(2^4\cdot2^{-6})\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\dfrac{9}{25}:2^{4+(-6)}=\dfrac{9}{25}:2^{-2}=\dfrac{9}{25}:\dfrac{1}{2^2}=\dfrac{9}{25}:\dfrac{1}{4}=\dfrac{9}{25}\cdot\dfrac{4}{1}=\dfrac{36}{25}

You might be interested in
6x + 1 = 6x - 8 what is the value of x
Katarina [22]

Answer:

No solution

Step-by-step explanation:

6x + 1 = 6x - 8

-6x        -6x

1 ≠ -8

3 0
3 years ago
I accidentally pressed A
pav-90 [236]

Answer:

D 46x²+ 67x -16

Step-by-step explanation:

adding like terms

R1(x) + R2(x) = 16x²+52x-27 + 30x² + 15x + 11

total = 46x²+ 67x -16

6 0
3 years ago
Please help me please please please
Andrei [34K]

Answer:wanna hang

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Estimate the sum or difference 4/5+18/20 A 1 B 1 ,1/2 C 2
const2013 [10]

Answer:

C 2

Step-by-step explanation:

4/5+18/20=1.7

Round that up it’s 2

6 0
3 years ago
Sequence of numbers 1.5,2.25,3.0,3.75 in a recursive formula?
stellarik [79]

Answer:

f(n + 1) = f(n) + 0.75

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • larry packed his movies in a box that is in the shape of a rectangular prism. The height of the box is 17 inches. The length of
    12·1 answer
  • The coach of a basketball team is trying to pick a
    8·1 answer
  • If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it
    8·1 answer
  • How many 1 1/8 ounce servings are there in a 23 ounce box
    12·1 answer
  • Emma received a $40 gift card that could be used to download television programs. After she downloaded 5 programs, she had $30 r
    7·1 answer
  • The relation Q is described as a list of ordered pairs, shown below.
    6·2 answers
  • Rebecca has 85 ounces of soda in her refrigerator. She drinks exactly 1/5 ounces of soda everyday. At this rate, what is the max
    15·1 answer
  • Write 5/9<br> as an equivalent fraction with a denominator of 18
    13·2 answers
  • A blueprint for a house has a scale of 1:30. A wall in the blueprint is 8 in. What is the length of the actual wall?
    7·1 answer
  • Is 2/100 equivalent to 2/10
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!