Question
In the given expression, a is a constant. The expression is equivalent to x6, where x
0. What is the value of a?
The correct answer is: 4
Bases are equal then powers are also equal 
3a = 12
a = 4
Related Questions to study
x2 - 6x + 7 = 0
What is the sum of the solutions to the equation above?
x2 - 6x + 7 = 0
What is the sum of the solutions to the equation above?
x2 - 8x + y2 - 10y = 40
In the xy-plane, the graph of the given equation is a circle. What is the radius of this circle?
|A circle equation represents a circle's position in a cartesian plane. Suppose we know the length of its radius and the coordinates of the circle's center. Then we can write the equation of the circle. The circle equation represents all the points on the circle's circumference.
A circle can be drawn on paper if its center and radius lengths are given. Then, using the circle equation, we can draw the circle on the cartesian plane once we know the coordinates of the circle's center and radius.
There are several ways to represent a circle's equation.
• General form: x² + y² + 2gx + 2fy + c = 0.
• Standard form: (x−x1)²+(y−y1)² = r²
• Parametric form: x² + y² + 2hx + 2ky + C = 0
• Polar form: x² + y² = p²
x2 - 8x + y2 - 10y = 40
In the xy-plane, the graph of the given equation is a circle. What is the radius of this circle?
|A circle equation represents a circle's position in a cartesian plane. Suppose we know the length of its radius and the coordinates of the circle's center. Then we can write the equation of the circle. The circle equation represents all the points on the circle's circumference.
A circle can be drawn on paper if its center and radius lengths are given. Then, using the circle equation, we can draw the circle on the cartesian plane once we know the coordinates of the circle's center and radius.
There are several ways to represent a circle's equation.
• General form: x² + y² + 2gx + 2fy + c = 0.
• Standard form: (x−x1)²+(y−y1)² = r²
• Parametric form: x² + y² + 2hx + 2ky + C = 0
• Polar form: x² + y² = p²
For part of a trip, a car traveled directly away from its starting point at a constant speed. The graph shows the car's distance from its starting point, in miles, for times from 2.0 hours to 2.5 hours after the start of the trip. What was the speed of the car, in miles per hour, during this part of the trip?
For part of a trip, a car traveled directly away from its starting point at a constant speed. The graph shows the car's distance from its starting point, in miles, for times from 2.0 hours to 2.5 hours after the start of the trip. What was the speed of the car, in miles per hour, during this part of the trip?
In the xy-plane, the graph of y = 
x + b, where b is a constant, intersects the x-axis at (-6, 0). What is the value of b ?
In the xy-plane, the graph of y = x + b, where b is a constant, intersects the x-axis at (-6, 0). What is the value of b ?
y = 2x + 5
y=kx+3
In the given system of equations, k is a constant. The system has exactly one solution. Which of the following could be the value of k ?
I. 2
II. 5
A system of equations in algebra is made up of two or more equations that seek common solutions. A group of equations that all depend on the same variables is known as a "linear equation system." A system of equations is a group of equations that work together to provide a solution for all variables. Example:
• 2x - y = 12
• x - 2y = 48
Any system of equations can be solved using different methods. For example, we need at least two equations in a system of equations in two variables to solve. Similarly, we'll need at least three equations to solve a three-variable system of equations. So let us look at three different approaches to solving equations with two variables.
1. Substitution Method
2. Elimination Method
3. Graphical Method
y = 2x + 5
y=kx+3
In the given system of equations, k is a constant. The system has exactly one solution. Which of the following could be the value of k ?
I. 2
II. 5
A system of equations in algebra is made up of two or more equations that seek common solutions. A group of equations that all depend on the same variables is known as a "linear equation system." A system of equations is a group of equations that work together to provide a solution for all variables. Example:
• 2x - y = 12
• x - 2y = 48
Any system of equations can be solved using different methods. For example, we need at least two equations in a system of equations in two variables to solve. Similarly, we'll need at least three equations to solve a three-variable system of equations. So let us look at three different approaches to solving equations with two variables.
1. Substitution Method
2. Elimination Method
3. Graphical Method
8x - 4y = 7
3x + 6y = 12
If (x, y) is the solution to the given system of equations, what is the value of x ?
8x - 4y = 7
3x + 6y = 12
If (x, y) is the solution to the given system of equations, what is the value of x ?
For a certain group of fish, the graph models the relationship between body length L, in centimeters (cm), and tail area A, in square centimeters (cm2), where 
. Which equation represents the relationship between body length and tail area?
For a certain group of fish, the graph models the relationship between body length L, in centimeters (cm), and tail area A, in square centimeters (cm2), where . Which equation represents the relationship between body length and tail area?
The given equation relates the variables c, x, and y, where c > 0, x > 0, and y > 0. Which equation correctly expresses y in terms of c and x ?
The given equation relates the variables c, x, and y, where c > 0, x > 0, and y > 0. Which equation correctly expresses y in terms of c and x ?
In the xy-plane, line l has a slope of 2. Line k is perpendicular to line l and contains the point (4, 2). Which of the following is an equation of line k?
In the xy-plane, line l has a slope of 2. Line k is perpendicular to line l and contains the point (4, 2). Which of the following is an equation of line k?
In right triangle ABC, the length of side 
is 12, the measure of 
A is 40°, and B is a right angle. Which of the following can be determined using the information given?
I. The measure of C
II The length of side 
In right triangle ABC, the length of side is 12, the measure of A is 40°, and B is a right angle. Which of the following can be determined using the information given?
I. The measure of C
II The length of side
If 2n + 12 = 26n, what is the value of 6n?
If 2n + 12 = 26n, what is the value of 6n?
I2x - 4 I = 8
What is the positive solution to the given equation?
I2x - 4 I = 8
What is the positive solution to the given equation?
Two lines intersect as shown. What is the value of x ?
Two lines intersect as shown. What is the value of x ?
A poster has an area of 432 square inches. The length x, in inches, of the poster is 6 inches longer than the width of the poster. Which of the following equations can be solved to determine the length, in inches, of the poster?
A poster has an area of 432 square inches. The length x, in inches, of the poster is 6 inches longer than the width of the poster. Which of the following equations can be solved to determine the length, in inches, of the poster?
|
x |
h(x) |
|
-1 |
1 |
|
2 |
7 |
|
4 |
11 |
|
x |
h(x) |
|
-1 |
1 |
|
2 |
7 |
|
4 |
11 |
