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Korolek [52]
2 years ago
15

Given the algebraic expression the quantity 64 times x to the two-thirds power end quantity to the negative one-third power comm

a, create an equivalent expression.
1 divided by the quantity 4 times x to the one-third power end quantity
1 divided by the quantity 4 times x to the two-ninths power end quantity
4 times x to the one-third power
4 times x to the two-ninths power
Mathematics
1 answer:
11111nata11111 [884]2 years ago
3 0

The given algebraic expression is equal to 1 divided by the quantity 4 times x to the two-ninths power end quantity. The correct option is B.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given algebraic expression can be simplified using the exponential properties. Therefore, the simplification of the algebraic expression can be done as shown below.

(64x^{\frac23})^{-\frac13}

= (4^3)^{-\frac13} \times x^{(\frac23 \times -\frac13)}\\\\= 4^{(3 \times -\frac13)} \times x^{(\frac23 \times -\frac13)}\\\\= 4^{-1} \times x^{-\frac29}\\\\=\dfrac{1}{4x^{\frac29}}

Hence, the correct option is B.

Learn more about Expression here:

brainly.com/question/13947055

#SPJ1

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lubasha [3.4K]
7.50
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4 0
3 years ago
How do you factor 30n^2b-87nb+30b?
Rudik [331]
It's not clear whether you meant 30n^(2b) or [30n^2] b.

I will assume the latter.

b can then be factored out of all  three terms, resulting in 

b [30n^2 - 87n + 30]     = b [ 3 ] [10n^2 - 29n + 10 ]

Can you factor this further?
4 0
3 years ago
Integration of (cosec^2 x-2005)÷cos^2005 x dx is
kondor19780726 [428]
We are asked in the problem to evaluate the integral of <span>(cosec^2 x-2005)÷cos^2005 x dx. The function is an example of a complex function with a degree that is greater than one and that uses special rules to integrate the function via the trigonometric functions. For example, we integrate 
2005/cos^2005x dx which is equal to 2005 sec^2005 x since sec is the inverse of cos. The integral of this function when n >3 is equal to I=</span><span>∫<span>sec(n−2)</span>xdx+∫tanx<span>sec(n−3)</span>x(secxtanx)dx
Then, 
</span><span>∫tanx<span>sec(<span>n−3)</span></span>x(secxtanx)dx=<span><span>tanx<span>sec(<span>n−2)</span></span>x/(</span><span>n−2)</span></span>−<span>1/(<span>n−2)I
we can then integrate the function by substituting n by 3.

On the first term csc^2 2005x / cos^2005 x we can use the trigonometric identity csc^2 x = 1 + cot^2 x to simplify the terms</span></span></span>
7 0
3 years ago
Pls answer<br><br>thank u guys ur AMAZING<br><br><br><br><br>thnxxxx
kozerog [31]

a             (3a-4b)

p             (4 + q -3r)

s             (3t +4u +2v)

q             (4pq + 3r + 5pr)

ab           (7a + b – 4)

tu           4tu+2uv +3w)

2abc      (5c – 2a + 3b)

8qrs       (2p+ 7q – 5)

5 0
3 years ago
Hi Math Geniuses! here's my question for 10 points and Brainliest! I need the explanation for how you got the answer.
Tasya [4]

Answer:

A. 46.71

Step-by-step explanation:

I'm going to guess this is a "free-point" question, but here we go.

46.7 can be represented as 46.70, so, understandibly, adding 1 to the hundreths place gives you.

46.71

Hope this helps!

5 0
3 years ago
Read 2 more answers
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