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Finger [1]
3 years ago
10

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Mathematics
1 answer:
iragen [17]3 years ago
6 0

Step-by-step explanation:

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Which expression is equivalent to (x^4/3 x^2/3)^1/3?
KATRIN_1 [288]

Answer: x^{\frac{2}{3} }

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

(x^{a})(x^{b}) = x^{a + b} <em>(Exponents with the same base that are being multiplied together can have the exponents added)</em>

(x^{a})^{b} = x^{(a)(b)} <em>(A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)</em>

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Let's apply it!

First, let's simplify what's inside the parenthesis.

x^{\frac{4}{3} } x^{\frac{2}{3} } <em>(Remember, they have the same base of "x", so we can add the exponents)</em>

x^{\frac{4}{3} + \frac{2}{3} } = x^{\frac{6}{3} } = x^{2}

Now we have (x^{2})^{\frac{1}{3} }. Let's use the second rule.

(x^{2})^{\frac{1}{3} } = x^{\frac{2}{3} }

Hope this helps! :^)

7 0
3 years ago
Factor the expression completely over the complex numbers. <br><br> x^3-4x^2+4x-16
Orlov [11]

First you must know that is i∧2= -1

x∧3-4x∧2+4x-16 = x∧2 (x-4) + 4 (x-4) = (x-4) (x∧2+4) = (x-4) (x∧2-(-4)) =

= (x-4) (x∧2-(-1) *4) = (x-4) (x∧2- i∧2*2∧2) = (x-4) (x∧2-(2i)∧2) = (x-4) (x-2i) (x+2i)

Good luck!!!

5 0
3 years ago
If there are 460 pounds for every 4 pellets how many pounds are for 16 pellets.
WINSTONCH [101]

Answer:

1840

Step-by-step explanation:

4 pellets x 4 = 16 pellets

460 pounds x 4 = 1840 pounds

4 0
3 years ago
Read 2 more answers
1) Given the function f(x) = 2x -3, evaluate f(3).
igomit [66]

Answer:

1) f(3) = 3

2) x = 2

Step-by-step explanation:

Given:

f(x) = 2x -3

Evaluating f(3):

f(3) = 2(3) -3 \\ f(3) = 6 -3 \\ f(3) = 3

Solving for f(x) = -1:

2x -3 = 1 \\ 2x -3 +3 = 1 +3 \\ 2x = 4 \\ \frac{2x}{2} = \frac{4}{2} \\ x = 2

3 0
3 years ago
Two 6-sided dice are rolled at the same time. How many outcomes correspond to the event that the sum of the numbers is 5?
Helen [10]
In rolling a die, there are 6 possible outcomes. Each face is numbered from 1 to 6. The possible combinations of numbers so that their sum is 5 is, 1 - 4, 2 - 3, 3 - 2, 4 - 1. Thus, the answer is that they are four possible outcomes corresponding to the given event. 
5 0
3 years ago
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