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irinina [24]
4 years ago
7

Simplify the following expression using properties of exponents. (4z)⁻³×(2z)⁵

Mathematics
1 answer:
Elena-2011 [213]4 years ago
8 0

Answer:

  z²/2

Step-by-step explanation:

The applicable properties of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

__

  (4z)^{-3}\cdot(2z)^5=(4^{-3})(z^{-3})(2^5)(z^5)=\dfrac{32}{64}z^{-3+5}\\\\=\boxed{\dfrac{z^2}{2}}

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Write an equation that can be used to find 푚∠푀. Then, solve it. Round to the nearest degree.
jek_recluse [69]

Answer:

M = 27 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin M = opp side/ hypotenuse

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4 0
3 years ago
Can I have some help please which of the following is the quotient of the rational expressions shown below
elena-s [515]

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3 years ago
Find the length and width of the frame
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Answer:

The width is - 4 the lengeth is - 7

Step-by-step explanation:

w*l = 28in²

w = ?

l = w+3

w=2

2+3 = 5

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w = 3

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w = 4

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6 0
3 years ago
1. Jadyn started off his long division problem incorrectly. What is his mistake?
Anastaziya [24]

The mistake Jadyn made in the long division is

  • Mistake in subtraction
  • the first quotient

<h3>What is long division ?</h3>

Long division refers to a way of dividing large numbers

performing the long division correctly gives

divisor    dividend     quotient     multiplication    subtraction  new dividend

8             335              40               8 * 40 = 320     335 - 320       15          

8             15                 1                   8 * 1 = 8            15 - 8                7  

8             70                0.8               8 * 8 = 64      70 - 64                6

8             60                0.07             8 * 7 = 56       60 - 56               4

8             40                0.005           8 * 5 = 40       40 - 40               0

The quotient is then added as

40 + 1 + 0.8 + 0.07 + 0.005 = 41.875

Learn more about long division here:

brainly.com/question/1098876

#SPJ1

8 0
1 year ago
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