kenji spent 19.00 of the 20.00 in her wallet which decimal represents the fraction of the 20.00 kenji spent

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

If the triangle's sides are a base that is 4 inches, a height that is 3 inches, and the other side that is 5 inches, what is the

Maksim231197 [3]

Answer:

6 in ^2

Step-by-step explanation:

divide side lengths by two and add those numbers

6 0

4 years ago

A 60 <br> B 90<br> C 120<br> D 30

olchik [2.2K]

Answer:

C

Step-by-step explanation:

120+60=180

5 0

3 years ago

3.8 times 10 to the power of -8

Yuliya22 [10]

Answer:

1/38^8

Step-by-step explanation:

3.8 times 10 is 38

so it would be 38 to the power of -8 ( 38^-8 )

then you simplify

you have to rewrite the negative power

( you can't have negative power as numerator )

$\frac{38^{-8} }{1}$

so you put it a part of the denominator

which switches the sign

$\frac{1}{38^{8} }$

hope this helps

8 0

3 years ago

Needing help with this!

Sonbull [250]

assuming the scale is by 1,

a) the slope is rise/run so it rises 3 units and moves 4 units right therefore the slope is 3/4

b) the y intercept is where the line crosses the y axis so by looking at the graph you can tell that the y int is 1

c) and the equation is made up of the slope and the y intercept: y= 3/4x + 1

6 0

4 years ago