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3 years ago

Help! Multiplying rational expressions

Mathematics

1 answer:

Ber [7]3 years ago

8 0

I worked them out on paper. I hope this helps. There’s a picture of the work.

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What is the expression in radical form?<br><br> (4x3y2)310

sertanlavr [38]

Given:

Consider the given expression is

$(4x^3y^2)^{\frac{3}{10}}$

To find:

The radical form of given expression.

Solution:

We have,

$(4x^3y^2)^{\frac{3}{10}}=(2^2)^{\frac{3}{10}}(x^3)^{\frac{3}{10}}(y^2)^{\frac{3}{10}}$

$(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{6}{10}}(x)^{\frac{9}{10}}(y)^{\frac{6}{10}}$

$(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{3}{5}}(x)^{\frac{9}{10}}(y)^{\frac{3}{5}}$

$(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{2^3}\sqrt[10]{x^9}\sqrt[5]{y^3}$ $[\because x^{\frac{1}{n}}=\sqrt[n]{x}]$

$(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{8y^3}\sqrt[10]{x^9}$ $[\because x^{\frac{1}{n}}=\sqrt[n]{x}]$

Therefore, the required radical form is $\sqrt[5]{8y^3}\sqrt[10]{x^9}$ .

8 0

3 years ago

Need help with two math questions please asap! Thank you!

IrinaK [193]

The answers are:
x
X^2 -5x +6

8 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu. In the figure, x = , y = , and z = .

alexdok [17]

X= 95
z=180
y=147

based on from making sure each triangle added up to 180 degrees and with the outer angles

8 0

3 years ago

Read 2 more answers

If a: b= 3:4 then find the value of<br>(6a-3b :(5a + 2b)

KengaRu [80]

Answer:

6 : 23

Step-by-step explanation:

$a : b = 3 : 4 ....(given)\\ \\ let \: a = 3x \\ b = 4x \\ \\ (6a - 3b) : (5a + 2b) \\ \\ = \frac{(6a - 3b)}{(5a + 2b)} \\ \\ = \frac{6(3x) - 3(4x)}{5(3x) + 2(4x)} \\ \\ = \frac{18x- 12x}{15x+ 8x} \\ \\ = \frac{6x}{23x} \\ \\ = \frac{6}{23} \\ \\ (6a - 3b) : (5a + 2b) = 6 : 23$

7 0

2 years ago

Grant spent 2.50,$4.00,$4.25, and $3.25?On breakfast one week.The next week he spent $6 more in total for the 4 breakfasts than

masha68 [24]

We have been given that Grant spent $2.50, $4.00, $4.25, and $3.25 on breakfast in one week. The next week he spent $6 more in total for the 4 breakfasts than the week before. We are asked to find increase in the mean of second week.

Since Grant spent $6 more than last week, we will divide 6 by 4 to get how much mean of second week breakfast expenditures increased with respect to first week expenditures.

$\text{Mean increase in second week breakfast expenditure}=\frac{6}{4}$

$\text{Mean increase in second week breakfast expenditure}=1.5$

Therefore, mean of second week breakfast expenditure will be $1.5 more than first week.

3 0

3 years ago