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
Maru [420]
2 years ago
5

Find the value of the following expression

Mathematics
1 answer:
Misha Larkins [42]2 years ago
6 0

Looks like the expression is

(2⁸ • 5⁻⁵ • 19⁰) • (5⁻² / 2³)⁴ • 2²⁸

First, any positive number raised to 0 is 1:

(2⁸ • 5⁻⁵ • 1) • (5⁻² / 2³)⁴ • 2²⁸

(2⁸ • 5⁻⁵) • (5⁻² / 2³)⁴ • 2²⁸

Exponents in a denominator can be rewritten as negative exponents in the numerator:

(2⁸ • 5⁻⁵) • (5⁻² • 2⁻³)⁴ • 2²⁸

Distribute the 4th power across the product 5⁻² • 2⁻³ :

(5⁻² • 2⁻³)⁴ = 5⁻⁸ • 2⁻¹²

so we have

(2⁸ • 5⁻⁵) • (5⁻⁸ • 2⁻¹²) • 2²⁸

Multiplication is associative, so we can ignore the parentheses. Combine factors with equal bases and simplify the exponents:

2⁸ • 5⁻⁵ • 5⁻⁸ • 2⁻¹² • 2²⁸

2⁸⁻¹²⁺²⁸ • 5⁻⁵⁻⁸

2²⁴ • 5⁻¹³

Rewrite the negative exponent as a positive one:

2²⁴ / 5¹³

You might be interested in
What is equidistant from the vertices of a triangle.
docker41 [41]

Answer:

The circumcenter of a triangle is a point that is equidistant from all three vertices.

Step-by-step explanation:

What is equidistant from the vertices of a triangle?

The circumcenter of a triangle is a point that is equidistant from all three vertices.

5 0
2 years ago
(1/2)x x 3/43=<br><br><br> Pls im so close for finishing 20 POINTS
Digiron [165]
3/86 I believe because; 1/2 x 3/43 = 1x3 and 2x43 as denominator = 3/86 MULTIPLY both numerators and denominators.
3 0
3 years ago
Read 2 more answers
True or false. Y=3xsquared (like the little number two above the x) is direct variation.
galina1969 [7]
Your answer will be true
3 0
3 years ago
Write the sentence as an equation. t equals 137 minus w
loris [4]

Answer:

t = 137-w

Step-by-step explanation:



4 0
3 years ago
Read 2 more answers
2% as a decimal help
Free_Kalibri [48]
 the answer  i got is 0.02
7 0
3 years ago
Read 2 more answers
Other questions:
  • A straight line joins the points (-1, -4) and (3, 8)
    13·1 answer
  • Solve for x: −2x + 5 &lt; 7
    15·1 answer
  • How many grams are in 1,250 kilograms
    14·2 answers
  • What is 15 x minus 3 y = 0 written in slope-intercept form? y = 5x y = negative 5 x x = one-fifth y x = 5 y
    14·1 answer
  • Gase
    9·1 answer
  • The express bus from Dublin to Belfast takes x minutes. The standard bus takes 29 minutes longer. Write down an expression for t
    6·2 answers
  • The graph of f(x) = x2 – 3x2 + 4 is shown
    14·1 answer
  • R + 4s = -8<br> 3r + 2s = 6
    9·2 answers
  • The coordinate plane shows Line A B.<br> What is the length of the line segment?
    13·2 answers
  • I am not sure of the answer which one of the option is it?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!