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
german
2 years ago
11

Find the equivalent exponential expression. [(-4)^5]^3

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
4 0

Answer:

-4^{15}

Step-by-step explanation:

Given expression:

\left[(-4)^5\right]^3

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\implies (-4)^{(5 \times 3)}

\implies (-4)^{15}

\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:

\implies -4^{15}

You might be interested in
Find a polynomial P(x) with the zeros x=2, −(2), √3, −√3
Zigmanuir [339]

Answer:

P(x) = x^{4} - 7x² + 12

Step-by-step explanation:

Given zeros x = 2, x = - 2, x = \sqrt{3}, x = - \sqrt{3}

Then the factors are (x - 2), (x + 2), (x - \sqrt{3} ), (x + \sqrt{3} )

and the polynomial is the product of the factors, that is

P(x) = (x - 2)(x + 2)(x - \sqrt{3} )(x + \sqrt{3} ) ← expand in pairs using FOIL

      = (x² - 4)(x² - 3) ← distribute

     = x^{4} - 3x² - 4x² + 12 ← collect like terms

    = x^{4} - 7x² + 12

6 0
3 years ago
Please help I really need your help
Amanda [17]

Answer:

1.  1200 \ kg/m^3

2.

a)

35 cm = 0.35 meters

11 dm = 1.1 meters

15 mm = 0.015 meters

b)

Volume = 0.005775 cubic meters

Mass = 15.5925 kilograms

Step-by-step explanation:

1.

We know

Density = Mass/Volume

Given

Mass = 90 kg

Volume = 0.075 cubic meters

The SI unit for density is kilograms per cubic meters. Our dimensions are just that, so we just need to plug in the numbers into the formula and get our answer. Shown below:

Density = \frac{90}{0.075}=1200 \ kg/m^3

The Density of asphalt block = 1200 \ kg/m^3

2.

a)

We need to express 35cm, 11dm, and 15mm in meters

We know

100 cm = 1 meters, so

35 cm = 35/100 = 0.35 meters

We know 1 dm = 0.1 meters, so

11 dm * 0.1 = 1.1 meters

We know, 1mm = 0.001 meters, so

15 mm * 0.001 = 0.015 meters

b)

Volume of the Slab is length * width * height, in meters, that would be:

Volume = 0.35 * 1.1 * 0.015 = 0.005775 cubic meters

THe mass would be found by the formula:

Density = Mass/Volume

2700 = Mass/0.005775

Mass = 0.005775 * 2700 =  15.5925 kilograms

5 0
3 years ago
Help pleaseeee!!!!!!
kaheart [24]
Communitive Property of Addition
4 0
3 years ago
Please help asap
ElenaW [278]
If you follow is rule : P(x,y)>180° rotation>P'(-x,-y). the negative signs doesn't mean to make it negative but to change it to the opposite sign. If it's positive it goes to negative. And if it's negative is goes to positive. The rotated image would have the points: (1,2) (4,4) (3,7)
7 0
3 years ago
Read 2 more answers
Find the value of the following expression:
Greeley [361]

Answer:

25

Step-by-step explanation:

Expression: <em>(2⁸ ⋅ 5⁻⁵ ⋅ 19⁰)⁻² ⋅ (5⁻²/2³)⁴ ⋅ 2²⁸</em>

Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸

Combine like terms: 2¹² • 5²/2¹²

Cancel out: 5²

Solve: 25

6 0
3 years ago
Other questions:
  • What is the answer to the question
    11·1 answer
  • Can you please help me solve this equation! <br><br> Evaluate:<br> 4x/(5-3)
    12·2 answers
  • Needsjeplppppppppppppppppppp
    8·1 answer
  • There are a total of 56 students in the math club and the games club. The math club has 4 more students than the games club. Wri
    5·1 answer
  • colton's recipe makes 2 dozen brownies. his recipe calls for 7/8 cup of vegetable oil. how much oil will colton need to make 6 d
    8·1 answer
  • In parallelogram ABCD, m∠BAD=70°. Identify m∠ADC.
    15·2 answers
  • Simplify 7/9 14 (please help)
    12·1 answer
  • Multiply. What is 1/3 x 12?
    14·2 answers
  • How do I draw this in the circle
    12·2 answers
  • Find the prime factors of given numbers and express them in exponential form. a) 243 b) 1331 c)343​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!