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
koban [17]
3 years ago
15

Rewrite each expression as a product of two or quotient of two powers ​

Mathematics
1 answer:
Paul [167]3 years ago
6 0

Answer:

The product is 5^{40}*3^{70}

Step-by-step explanation:

To do this we must understand how the basic operations apply to powers. If the power has the same base and we multiply them, the base remains the same while we sum the powers, if we divide them the base remains the same and we subtract the powers, if we try to make a power of a power the two powers multiply. Applying this rule we have:

(\frac{5^8*3^7}{5^4})^{10}\\(\frac{5^8}{5^4}*3^7)^{10}\\(5^4*3^7)^{10}\\5^{40}*3^{70}

You might be interested in
Find the volume of a pyramid with a square base, where the side length of the base is
valina [46]

Answer:

Volume = 1114.1 in^3

Step-by-step explanation:

Recall that the formula for the volume of a pyramid is given by:

Volume=\frac{1}{3} \,B\,*\,H

where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).

Then the square base of the pyramid has an area given by: (12.8\,\,in)^2=163.84\,\,in^2

Finally,we can now write the volume of the pyramid as:

Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3

Rounding the answer to a tenth of a cubic inch, we get:

Volume = 1114.1 in^3

7 0
3 years ago
Find the exact value of sin A in simplest radical form.<br> B<br> 12<br> V63<br> с<br> 9<br> A
Rudik [331]

Answer:

sin A = \sqrt{7}/4

Step-by-step explanation:

sin A = opposite side/hypotenuse

sin A = \sqrt{63} / 12 = 3\sqrt{7} /12 = \sqrt{7} /4

7 0
3 years ago
11+x=-7 <br><br>im using the wall thing with the line though the =. ​
mezya [45]

Answer:

x= -7-11

x=-18

Step-by-step explanation:

7 0
3 years ago
Find the square root of√3 +√8​
nadya68 [22]

Answer: √3 + 2√2

Step-by-step explanation: Simplify the expression.

Exact Form:

√3 + 2√2

Decimal Form:

4.56047793 . . .

Hope this helps! :) ~Zane

8 0
3 years ago
Read 2 more answers
(x-9)(x+2) <br> see if u can find it
ycow [4]

Answer:

x^2 -7x-18

Step-by-step explanation:

(x-9)(x+2)

FOIL

first  x*x = x^2

outer 2x

inner -9x

last -9*2 =-18

Add together

x^2 +2x-9x-18

Combine like terms

x^2 -7x-18

4 0
3 years ago
Other questions:
  • A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measured. The sampl
    8·1 answer
  • What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x
    8·2 answers
  • Markup rate is 15% and markup is $18<br> What is the cost and retail price?
    10·1 answer
  • 6x + 18 = 90 help me plz
    15·1 answer
  • What is the value of ?
    7·1 answer
  • The highest common factor of 12, 24, and 36<br>is<br>(a) 14<br>(b) 12<br>(c) 6<br>(d) 1​
    12·2 answers
  • In the diagram ABC is congruent to DEF. aging the values of x and y
    11·1 answer
  • Brianna jogs 15 minutes more on Sunday than Saturday. She jogged 26 minutes on Saturday.
    6·2 answers
  • At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 studen
    13·1 answer
  • A bouncy ball is dropped. The function h(n)=300(3/4)^n−1 models the maximum height of the ball, in centimeters, after its nth bo
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!