Alfred Martin

2021-12-08

In the following, simplify using absolute values as necessary.

$\sqrt{3}\left\{216{a}^{6}\right\}$

turtletalk75

Beginner2021-12-09Added 29 answers

Given information: An expression is given as $\sqrt{3}\left\{216{a}^{6}\right\}$ .

Calculations: We have been given an expression is$\sqrt{3}\left\{216{a}^{6}\right\}$ .

For finding the odd and even roots by using the absolute value as necessary, we must know about the power property of exponent i.e.

$\left({a}^{m}\right)}^{n}={a}^{m\cdot n$

$\Rightarrow \sqrt{3}\left\{216{a}^{6}\right\}$ [Simplify the cube root of $216{a}^{6}$ ]

$\Rightarrow \sqrt{3}\left\{{\left(6{a}^{2}\right)}^{3}\right\}$ [Break the power exponent in the form of $\left({a}^{m}\right)}^{n}={a}^{m\cdot n$ ]

$\Rightarrow 6{a}^{2}$ [$\sqrt{n}\left\{{a}^{n}\right\}=a$ , if the value of n is odd.]

Thus, index value of$\sqrt{3}\left\{216{a}^{6}\right\}$ is odd.

Hence, the simplification of$\sqrt{3}\left\{216{a}^{6}\right\}\text{}is\text{}6{a}^{2}$

Calculations: We have been given an expression is

For finding the odd and even roots by using the absolute value as necessary, we must know about the power property of exponent i.e.

Thus, index value of

Hence, the simplification of

Find the volume V of the described solid S

A cap of a sphere with radius r and height h.

V=??

Whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) $f\left(x\right)=-3{x}^{2}+7$

c) $f(x)=\frac{x+1}{x+2}$

?

$d)f\left(x\right)={x}^{5}+1$In how many different orders can five runners finish a race if no ties are allowed???

State which of the following are linear functions?

a.$f(x)=3$

b.$g(x)=5-2x$

c.$h\left(x\right)=\frac{2}{x}+3$

d.$t(x)=5(x-2)$ Three ounces of cinnamon costs $2.40. If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A square is also a

A)Rhombus;

B)Parallelogram;

C)Kite;

D)none of theseWhat is the order of the numbers from least to greatest.

$A=1.5\times {10}^{3}$,

$B=1.4\times {10}^{-1}$,

$C=2\times {10}^{3}$,

$D=1.4\times {10}^{-2}$Write the numerical value of $1.75\times {10}^{-3}$

Solve for y. 2y - 3 = 9

A)5;

B)4;

C)6;

D)3How to graph $y=\frac{1}{2}x-1$?

How to graph $y=2x+1$ using a table?

simplify $\sqrt{257}$

How to find the vertex of the parabola by completing the square ${x}^{2}-6x+8=y$?

There are 60 minutes in an hour. How many minutes are there in a day (24 hours)?

Write 18 thousand in scientific notation.