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Shtirlitz [24]
2 years ago
12

Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify

your reasoning.
fourth root of x cubed
one over x to the negative one power
tenth root of the quantity x to the fifth times x to the fourth times x squared
x to the one third power times x to the one third power times x to the one third power
Mathematics
1 answer:
Lena [83]2 years ago
3 0

The expression of all the algebra as single rational exponent are; As written below.

<h3>How to Express Exponents?</h3>

1) We want to express ⁴√x³. This can be expressed as;

x^(3/4)

2) We want to express the exponent ¹/x⁻¹. This is expressed as a single rational exponent as; x

3) We want to have the given expression as a single rational exponent. The expression is; ¹⁰√(x⁵ · x⁴ · x²)

We add the exponents to get;

¹⁰√(x¹¹) = x^(¹¹/₁₀)

4) x^(¹/₃) * x^(¹/₃) * x^(¹/₃)

We just add the exponents to get;

x¹ = x

Read more about Exponents at; brainly.com/question/11761858

#SPJ1

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#16 and #19 only <br> Please answer both as soon as possible.
Vlad1618 [11]

Answer:

1. it is not a direct variation because the value <em>k</em> is not kept throughout the ordered pairs

2. -a^5 - 2a³ + 2a², leading coefficient is -1

Step-by-step explanation:

1. to find the direct variation, we will use y/x = k with k representing our constant throughout the chart. if every value is equal to k, it is a direct variation

for this problem we will assume that the cup sizes are x and the cost is y

so the ordered pairs are (8, 0.90), (12, 1.35), (16, 1.80), and (24, 2.25)

.90/8 = 0.1125 <-- this is our <em>k</em> value for which every result has to be equal to

1.35/12 = 0.1125

1.80/12 = 0.1125

2.25/24 = 0.09375

since the value <em>k</em> was not kept throughout the ordered pairs, this is not a direct variation

2. the standard form of a polynomial is the exponents in descending order.

we have the following polynomial: 2a² - a^5 -2a³

to write it in standard form, we will go in descending order of the exponents. the largest exponent being first

-a^5 - 2a³ + 2a²

the leading coefficient of the polynomial is -1, as there is a negative sign in front of the newly formed polynomial

4 0
3 years ago
How to evaluate the expression
jasenka [17]

Answer:

1

Step-by-step explanation:

4^{5} can be expressed as 2^{(2)(5)} = 2^{10}

Similarly 4^{8} can be expressed as 2^{(2)(8)} = 2^{16}

Numerator becomes:

2^{10} · -2^{9} = -2^{19}

Denominator becomes:

2^{16} · -2^{3} = -2^{19}

Since numerator = Denominator,

Answer = 1

Edit reason: typo

4 0
3 years ago
5 baseballs to 25 softballs in simplest form
sashaice [31]

Answer:

1/5

Step-by-step explanation:

5 baseballs to 25 softballs

=

1 baseballs to 5 softballs in simplest form

5 0
3 years ago
Read 2 more answers
A fair coin is tossed six times. What is the probability that it will be heads every time?
yawa3891 [41]

Answer:

A: 3

Step-by-step explanation:

Hopefully this helps!

6 0
2 years ago
A bag contains 6 green marbles, 9 red marbles, 7 white marbles, and 3 black marbles. What is the probability of drawing a red ma
bonufazy [111]

Well if you add them all together you would get 25. You would have 9/25 red marbles. Then you would take 9 and divide it by 25 and get 0.36 and if you move the decimal over 2 places you’ll get 36%

6 0
3 years ago
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