All categories

1 year ago

Which radical expression is equivalent to

Mathematics

1 answer:

lyudmila [28]1 year ago

3 0

$~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ a^{\frac{1}{5}}\implies \sqrt[5]{a^1}\implies \sqrt[5]{a}$

You might be interested in

WHAT IS THE MATHEMATICS OF-3 1/2

lana66690 [7]

Answer:

Answer: 3 1/2 as a decimal is 3.5.

Step-by-step explanation:

8 0

3 years ago

I need help solving this problem

marusya05 [52]

Answer:

angle OPQ is external

so 6x-15=2x+18 + 2x-13

6x-15= 4x+5

6x-4x=15+5

2x=20

x=10

7 0

4 years ago

What is an equation of the line that is parallel to y=5x-7 and passes through (1,11)

mixas84 [53]

It's this: y=5x+10 if 2 lines are parallel ,the slope of lines should be equal.(the factor of "x")

6 0

3 years ago

I need help asap pls help.

scZoUnD [109]

Answer:

kdkdkdkdkskkeekekkwkwkwkekekekekkeekek

3 0

3 years ago

leva [86]

Answer: The correct answer is:

______________

→ Choice: [C]: " $\frac{2}{1} * \frac{7}{-2}$ " .

______________

Step-by-step explanation:

______________

Note that this problem contains multiplication and division.

WIth multiplication and division;

the order of operations we perform is from "left side to right side" in the expression; in the order in which the operation occurs:

As such:

______________

The given problem:

______________

" $\frac{-3}{4} * \frac{7}{-2}$ ÷ $\frac{3}{-8}$ " ;

Is treated as:

______________

" $(\frac{-3}{4} * \frac{7}{-2})$ ÷ $\frac{3}{-8}$ " ;

______________

So, we start with:

______________

" $\frac{-3}{4} * \frac{7}{-2}$ " ;

______________

→ $\frac{-3}{4} * \frac{7}{-2} = \frac{(-3*7)}{[4*(-2) ]} = \frac{-21}{-8}$ ;

______________

Simplify:

______________

" $\frac{-21}{-8} = \frac{(-1)*21}{(-1) *8}$ " ;

______________

→ The "(-1)'s " cancel out:

{since: "(-1)/(-1) = 1 "} ;

→ And we have: " $\frac{21}{8}$ " ;

______________

Now, continue with the problem, and divide this value by: " $\frac{3}{-8}$ " ;

______________

" $\frac{21}{8}$ ÷ $\frac{3}{-8}$ " ;

______________

Note that dividing by a number is the same as multiplying by the reciprocal of that said number:

______________

The reciprocal of " $\frac{3}{-8}$ " ; is: " $\frac{-8}{3}$ : l

As such:

" $\frac{21}{8}$ ÷ $\frac{3}{-8}$ " ;

______________

= " $\frac{21}{8} * \frac{-8}{3}$ "

______________

Now, let us simplify:

Note: The "8" and the "-8" ;

The "8" can be changed to "1" ; and the "-8" can be changed to "-1" ;

since: "-8 ÷ 8 = 1 " ; and since: "8 ÷ 8 = 1 " ;

Note: The "3" and the "21" ;

The "3" can be changed to "1"; and the "21" can be changed to "7" ;

since: "21 ÷ 3 = 7 " ; and since: "3 ÷ 3 = 1 " ;

______________

And we can we rewrite the expression:

______________

→ " $\frac{7}{1} * \frac{-1}{1}$ " ;

which equals: " 7 * -1 " ; which equals " - 7 ".

______________

Now, the problem has 4 (four) answer choices. Which expression [i.e. which answer choice] is equal to: " -7 " ??

______________

Consider Choice [A]: " $\frac{1}{2} * \frac{7}{2}$ " ; which equals: " $\frac{(1*7)}{(2*2)} = \frac{7}{4} = 1\frac{3}{4}$ " ;

" $1\frac{3}{4} \neq -7$ ."

Rule out: "Choice [A]."

______________

Consider Choice: [B]: " $\frac{2}{1} * \frac{7}{2}$ " ; which equals: " $\frac{(2*7)}{(1*2)} = \frac{14}{2} = 7$ ; " $7\neq -7$ ."

Rule out: "Choice: [B]."

______________

Consider Choice: [C]: " $\frac{2}{1} * \frac{7}{-2}$ " ; which equals: " $-7$ ; " $-7 = -7$ ".

Choice [C]: seems correct!

______________

Consider Choice: [D]: " $\frac{-1}{2} * \frac{7}{-2}$ " ; which equals:

" $\frac{(-1*7)}{(2*-2)} = \frac{-7}{-4} = \frac{(-1)*7}{(-1)*4}$ ;

→ cancel out the "(-1)'s" ;

→ {since: "(-1) / (-1) = 1 " ;

to get:

→ " $\frac{7}{4}$ " ; which equals:

→ " $1\frac{3}{4}$ " ; " $1\frac{3}{4} \neq -7$ . "

Rule out: "Choice: [D]."

______________

The correct answer is:

______________

Choice: [C]: " $\frac{2}{1} * \frac{7}{-2}$ " .

______________

Hope this is helpful to you!

Wishing you the best!

______________

4 0

3 years ago