Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

$text If end text a to the power of negative 1 half end exponent equals x text , where end text a greater than 0 comma text what is end text a text in terms of end text x text ? end text$

$\sqrt{x}$
$- \sqrt{x}$
$\frac{1}{x^{2}}$
$- \frac{1}{x^{2}}$

The correct answer is: $1 over x squared$

Hint:
In algebra, $x to the power of negative p end exponent equals 1 over x to the power of p$ , where x ( $not equal to$ 0) and p both are real numbers.
Explanations:
Step 1 of 1:
Given $a to the power of negative 1 half end exponent equals x$ , where $a greater than 0$
$not stretchy rightwards double arrow open parentheses a to the power of negative 1 half end exponent close parentheses squared equals x squared$ , squaring up both sides
$not stretchy rightwards double arrow a to the power of negative open parentheses 1 half cross times 2 close parentheses end exponent equals x squared$
$not stretchy rightwards double arrow a to the power of negative 1 end exponent equals x squared$
$not stretchy rightwards double arrow 1 over a equals x squared$
$not stretchy rightwards double arrow a equals 1 over x squared$
Final Answer:
a in terms of x is— C)

Related Questions to study

Given that ∠E ≅ ∠H . Are lines l and m parallel? Explain why or why not.

Given that ∠E ≅ ∠H . Are lines l and m parallel? Explain why or why not.

Use the graph to determine the solution for the system of equations:
a) How does the graph show that the solution of the system of equation has an x-value between 2 and 3 ?
b) What is the approximate solution of the system of equations ?

Use the graph to determine the solution for the system of equations:
a) How does the graph show that the solution of the system of equation has an x-value between 2 and 3 ?
b) What is the approximate solution of the system of equations ?

Solve each system of equations by graphing . Round your answers to the thousands, if necessary.
Y= 9+1/3x
Y= 4- 3/4x

Solve each system of equations by graphing . Round your answers to the thousands, if necessary.
Y= 9+1/3x
Y= 4- 3/4x

parallel

Solve each system of equations by graphing . Round your answers to the thousands, if necessary.
Y= 9X+2
Y=-3X-4

Solve each system of equations by graphing . Round your answers to the thousands, if necessary.
Y= 9X+2
Y=-3X-4

Solve each system of equations by graphing . Round your answers to the thousands, if necessary.
Y= -6X+5
Y= 4X+3

Solve each system of equations by graphing . Round your answers to the thousands, if necessary.
Y= -6X+5
Y= 4X+3

Solve each system of equations by graphing . Round your answers to the thousands, if necessary.
Y= 5X+1
Y= 2X+6

Solve each system of equations by graphing . Round your answers to the thousands, if necessary.
Y= 5X+1
Y= 2X+6

parallel

Write and solve a system of equations for the given situation :
Roshaun has saved $150 and continues to add $10 each week . Keegan starts with $0 and saves $25 each week .
a) In how many weeks will they have the same amount of money ?
b) What amount of money will they each have saved ?

Write and solve a system of equations for the given situation :
Roshaun has saved $150 and continues to add $10 each week . Keegan starts with $0 and saves $25 each week .
a) In how many weeks will they have the same amount of money ?
b) What amount of money will they each have saved ?

Determine whether each of the system of equations shown in the graph has no solution or infinitely many solutions :

Determine whether each of the system of equations shown in the graph has no solution or infinitely many solutions :

Determine whether each of the system of equations shown in the graph has no solution or infinitely many solutions :

Determine whether each of the system of equations shown in the graph has no solution or infinitely many solutions :

parallel

Describe and correct the error a student made in finding the solution of the system of equations .
Y+3X= 9
Y= 3x+9

Describe and correct the error a student made in finding the solution of the system of equations .
Y+3X= 9
Y= 3x+9

Describe the solution set for the system of equations that includes the equation of the line shown and each equation below.
i. y = 1/2x - 3
ii. 2x + y = 6
iii. X - 2y = -2

Describe the solution set for the system of equations that includes the equation of the line shown and each equation below.
i. y = 1/2x - 3
ii. 2x + y = 6
iii. X - 2y = -2

Write an equation in slope intercept form that would have infinitely many solutions in a system of equations with 5X-2Y= 8

Write an equation in slope intercept form that would have infinitely many solutions in a system of equations with 5X-2Y= 8

parallel

Solve each system of equations by graphing
3X+2Y= -3
2X-3Y= -15

Solve each system of equations by graphing
3X+2Y= -3
2X-3Y= -15

Solve each system of equations by graphing
X+Y= -5
Y= 0.5X -2

Solve each system of equations by graphing
X+Y= -5
Y= 0.5X -2

Solve each system of equations by graphing
Y=x
Y=2x

Solve each system of equations by graphing
Y=x
Y=2x

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.