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
Alex_Xolod [135]
4 years ago
6

Simplify each expression. Write your answer in exponential notation. PLEASE HELP

Mathematics
1 answer:
Luba_88 [7]4 years ago
8 0

\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad
a^n\implies \cfrac{1}{a^{-n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{25^2\cdot 25^6}{5^4\cdot 5}\implies \cfrac{(5^2)^2\cdot (5^2)^6}{5^{4+1}}\implies \cfrac{5^{2\cdot 2}\cdot 5^{2\cdot 6}}{5^5}\implies \cfrac{5^4\cdot 5^{12}}{5^5}
\\\\\\
\cfrac{5^{4+12}}{5^5}\implies \cfrac{5^{16}}{5^5}\implies 5^{16}\cdot 5^{-5}\implies 5^{16-5}\implies 5^{11}\implies 48828125


\bf ~\dotfill\\\\
\cfrac{8^7\cdot 8^4\cdot 2^3}{16^3}\implies \cfrac{(2^3)^7\cdot (2^3)^4\cdot 2^3}{(2^4)^3}\implies \cfrac{2^{21}\cdot 2^{12}\cdot 2^3}{2^{12}}\implies 2^{21}\cdot 2^{12}\cdot 2^3\cdot 2^{-12}
\\\\\\
2^{21+12+3-12}\implies 2^{24}\implies 16777216
\\\\[-0.35em]
~\dotfill\\\\
\cfrac{18^8}{6^3\cdot 3^4\cdot 6^5}\implies \cfrac{(2\cdot 3^2)^8}{6^{3+5}\cdot 3^4}\implies \cfrac{2^8\cdot 3^{2\cdot 8}}{6^8\cdot 3^4}\implies \cfrac{2^8\cdot 3^{16}}{(2\cdot 3)^8\cdot 3^4}


\bf \cfrac{2^8\cdot 3^{16}}{2^8\cdot 3^8\cdot 3^4}\implies \cfrac{2^8\cdot 3^{16}}{2^8\cdot 3^{8+4}}\implies \cfrac{2^8\cdot 3^{16}}{2^8\cdot 3^{12}}\implies \cfrac{2^8}{2^8}\cdot \cfrac{3^{16}}{3^{12}}\implies 1\cdot 3^{16}\cdot 3^{-12}
\\\\\\
3^4\implies 81

You might be interested in
Find the angle measures. Justify your responses. Given: a||b, m1=71º Find m5, m8
Natalka [10]

Answer:

The measure of angle MNP is

m ∠ MNP =  (x - y)/2

Explanation:

The image attached shows the figure corresponding to this question.

The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.

Then, you can use the theorem:

the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.

The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:

m ∠ MNP = (x - y)/2

Brainliest please

7 0
3 years ago
75% of ? Peaches is 15 peaches
drek231 [11]
To solve this problem you need to do a proportion. First you do 15 over x= 75 over 100. Now you multiply 15 by 100 which is 1500. Next, you divide 1500 by 75. YOUR ANSWER IS 20 peaches. To check your work, you could divide 20 by 4 which is 5. 5 times 3= 15 peaches.
6 0
3 years ago
How do I solve this problem
Andrews [41]

All you do is add the numbers and that is how you get your answer!


3 0
3 years ago
Which of the following has a graph that is wider than the graph of y=3x2+2 ? a.y=3x2+3 b.y=0.5x2+1 c.y=4x2 +1 d.y=4x2+1
Goryan [66]
So sorry fir it being this late but the answer is B
5 0
3 years ago
Read 2 more answers
What is the rate of change
kow [346]
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
3 0
3 years ago
Read 2 more answers
Other questions:
  • 65,754.59 rounded to the nearest tenth
    7·2 answers
  • What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form.
    8·2 answers
  • The vertices A(-2,-1),B(-3,2) C(-1,3) and D(0,0) form a parallelogram. The vertices A’(-1,-2), B’(2,-3), C(3,-1), and D’(0,0) ar
    6·1 answer
  • If the wholes are the same size and the numerators are the same number,what does that mean.
    8·1 answer
  • 9(f+3)=-18<br>please help!​
    8·1 answer
  • What’s eighty times two
    11·2 answers
  • What is the exact number of hundreds in 4,575?
    11·2 answers
  • Consider the function represented by the equation y=2x +5. Determine the amount by which the value of y increases every time the
    9·1 answer
  • What is the value of x in the equation 3(4x-6) - 2x + 1 = 3 -(3x -6)
    5·2 answers
  • Kaylee made a scale drawing of a house and its lot. The scale of the drawing was 1 inch : 5 feet. If the backyard deck is 7 inch
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!