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
Kobotan [32]
3 years ago
5

Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?

Mathematics
2 answers:
Flura [38]3 years ago
3 0

Answer:

The value to the given expression is 8

Therefore \left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3

To find the value of the given expression:

\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}

( By using the property ((\frac{a}{b})^m=\frac{a^m}{b^m} )

=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}

( By using the property (ab)^m=a^mb^m )

=\frac{(10^{12})(5^6)}{(10^9)(5^9)}

( By using the property (a^m)^n=a^{mn} )

=(10^{12})(5^6)(10^{-9})(5^{-9})

( By using the property \frac{1}{a^m}=a^{-m} )

=(10^{12-9})(5^{6-9}) (By using the property a^m.b^n=a^{m+n} )

=(10^3)(5^{-3})

=\frac{10^3}{5^3} ( By using the property a^{-m}=\frac{1}{a^m} )

=\frac{1000}{125}

=8

Therefore \left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8

Therefore the value to the given expression is 8

sleet_krkn [62]3 years ago
3 0

Answer:

C

Step-by-step explanation:

You might be interested in
PLZ HELP
NemiM [27]

Answer:

a

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The radius of a circle is 12 in. Find its area in terms of \piπ.
iren [92.7K]

Answer:

pi144

Step-by-step explanation:

square the radius but dont multiply by pi because the question wants you to leave it out.

7 0
2 years ago
Factor completely x3 + 8x2 − 3x − 24.
Anna71 [15]

Answer:

<h2>x³ + 8x² - 3x - 24 = (x + 8)(x - √3)(x + √3)</h2>

Step-by-step explanation:

x^3+8x^2-3x-24\\\\=(x^2)(x)+(x^2)(8)+(-3)(x)+(-3)(8)\qquad\text{distribute}\\\\=x^2(x+8)-3(x+8)\\\\=(x+8)(x^2-3)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(x+8)(x^2-(\sqrt3)^2)\\\\=(x+8)(x-\sqrt3)(x+\sqrt3)

7 0
3 years ago
Which equation demonstrates the additive identity property?
boyakko [2]

the answer for the question is b! :)

3 0
3 years ago
Yaaaa heree ya goo... good luck :D
horrorfan [7]

Answer:

Honestly i dont even know

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • Please help me to prove this..​
    15·2 answers
  • 12. Raymond is reading a road map. On the map,- inch represents 12 miles. Approximately
    10·1 answer
  • A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear gr
    14·2 answers
  • Help me please, thank you
    11·1 answer
  • How do I work this out oof
    6·2 answers
  • If d is 55 degrees then what is F and E degrees. Explain how you know​
    14·1 answer
  • Don't know this one, please help
    6·2 answers
  • Increase each of the following amounts by the percentage given.
    15·1 answer
  • What is the volume if a hemisphare with a diameter of 10cm​
    13·2 answers
  • Free Promo Moneybag Yo - Fire?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!