17 PTS<br><br> Identify the property:<br><br> -6.5 + (-7.4) + (-8.3)= -(6.5 + 7.4) + (-8.3)

Write an equivalent expression for the 4th root of 324m^12 * the cubed root of 64k^9. Need help!

Elis [28]

Answer:

The equivalent expression to the givan expression is

$\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3$

Step-by-step explanation:

Given expression is 4th root of 324m^12 * the cubed root of 64k^9

The given expression can be written as

$\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}$

To find the equivalent expression to the given expression :

$\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}$

$=\sqrt[4]{81\times 4m^{12}}\times\sqrt[3]{16\times 4k^9}$

$=\sqrt[4]{3\times 3\times 3\times 3\times 4m^{12}}\times\sqrt[3]{4\times 4\times 4k^9}$

$=(3\times \sqrt[4]{m^{12}})\times (4\times \sqrt[3]{k^9})$

$=(3\times \sqrt[4]{4m^{12}})\times (4\times \sqrt[3]{k^9})$

$=(3\times \sqrt[4]{4}\times (m^{12})^{\frac{1}{4}})\times (4\times {(k^9)^{\frac{1}{3}})$

$=(3\sqrt[4]{4}\times m^{\frac{12}{4}})\times (4\times k^{\frac{9}{3}})$

$=(3\sqrt[4]{4}\times m^3)\times (4\times k^3)$

$=3\sqrt[4]{4}m^3.4k^3$

$=12\sqrt[4]{4}m^3k^3$

$\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3$

Therefore the equivalent expression to the given expression is

$\sqrt[4]{324m^{12}}\times\sqrt[3]{64k^9}=12\sqrt[4]{4}m^3k^3$

8 0

3 years ago

Billy wants to build a new fence around his

svetoff [14.1K]

Answer:

sow ajaujqh

Step-by-step explanation:

hqjqjakaojsjaoakajhaiaksncbjaoqowneo

6 0

3 years ago

Kyle asks his friend Jane to guess his age and his grandmother’s age. Kyle says his grandmother is not more than 80 years old. H

motikmotik

The incorrect inequality is g > 80. The symbol ">" means greater than. So g > 80 would translate to meaning Kyle's grandmother is greater than 80. However, the problem states that his grandmother is not more than 80, meaning she is either 80 or younger. So the inequality should be g ≤ 80, or Kyle's grandmother is less than or equal to 80 years of age.

5 0

4 years ago

Read 2 more answers

2 less than three times a number is the same as the number plus 10

BaLLatris [955]

2-3n=n+10

so two less than three is subtracting two minus three. than three times a number; we dont know that number so we put it as a variable. in this case n. so they are multiplying right now. "is" means equals. than the same number, which is n, plus 10. so add ten with n.

8 0

4 years ago

(a+b)^2= hihihihihhiih

motikmotik

Answer:

Step-by-step explanation:

a^2+2ab+b^2

8 0

3 years ago

17 PTS Identify the property: -6.5 + (-7.4) + (-8.3)= -(6.5 + 7.4) + (-8.3)