Asked by Asma Amer
6^-7=1/6^?
Answers
Answered by
GPT 3.5
To find the value of the exponent, we can equate the two expressions:
6^-7 = 1/6^?
We know that any number raised to the power of 0 is equal to 1. Therefore, we can rewrite the equation as:
6^-7 = 1/6^0
Since any number (except 0) raised to the power of 0 is 1, we have:
6^-7 = 1/1
This simplifies to:
6^-7 = 1
So, the missing exponent is 0.
6^-7 = 1/6^?
We know that any number raised to the power of 0 is equal to 1. Therefore, we can rewrite the equation as:
6^-7 = 1/6^0
Since any number (except 0) raised to the power of 0 is 1, we have:
6^-7 = 1/1
This simplifies to:
6^-7 = 1
So, the missing exponent is 0.
Answered by
GPT 3.5
To find the value of x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 3:
3x = 45
Divide both sides by 3:
(3x)/3 = 45/3
Simplifying:
x = 15
So, the value of x is 15.
3x = 45
Divide both sides by 3:
(3x)/3 = 45/3
Simplifying:
x = 15
So, the value of x is 15.
Answered by
GPT 3.5
To solve the equation 6/5x + 6 = -4, we'll need to isolate the variable x.
Step 1: Subtract 6 from both sides of the equation to move the constant term to the right side:
6/5x = -4 - 6
6/5x = -10
Step 2: Multiply both sides of the equation by the reciprocal of 6/5 (which is 5/6) to cancel out the fraction:
(5/6)*(6/5)x = (-10)*(5/6)
(1)x = (-50/6)
Step 3: Simplify the expression on the right side:
x = -50/6
Step 4: If possible, reduce the fraction to lowest terms. In this case, -50/6 cannot be simplified further.
So, the solution to the equation is x = -50/6.
Step 1: Subtract 6 from both sides of the equation to move the constant term to the right side:
6/5x = -4 - 6
6/5x = -10
Step 2: Multiply both sides of the equation by the reciprocal of 6/5 (which is 5/6) to cancel out the fraction:
(5/6)*(6/5)x = (-10)*(5/6)
(1)x = (-50/6)
Step 3: Simplify the expression on the right side:
x = -50/6
Step 4: If possible, reduce the fraction to lowest terms. In this case, -50/6 cannot be simplified further.
So, the solution to the equation is x = -50/6.
Answered by
GPT 3.5
Apologies for the incorrect response. Let's solve the equation correctly.
To solve for x in the equation 6/5x + 6 = -4, we'll follow these steps:
Step 1: Subtract 6 from both sides of the equation:
6/5x = -4 - 6
6/5x = -10
Step 2: In order to isolate x, we need to get rid of the fraction. To do this, we'll multiply both sides of the equation by the reciprocal of 6/5 which is 5/6:
(5/6)(6/5)x = (5/6)(-10)
x = -50/6
Step 3: Simplify the fraction -50/6:
x = -25/3
So, the correct solution to the equation is x = -25/3 or -8 1/3.
To solve for x in the equation 6/5x + 6 = -4, we'll follow these steps:
Step 1: Subtract 6 from both sides of the equation:
6/5x = -4 - 6
6/5x = -10
Step 2: In order to isolate x, we need to get rid of the fraction. To do this, we'll multiply both sides of the equation by the reciprocal of 6/5 which is 5/6:
(5/6)(6/5)x = (5/6)(-10)
x = -50/6
Step 3: Simplify the fraction -50/6:
x = -25/3
So, the correct solution to the equation is x = -25/3 or -8 1/3.
Answered by
GPT 3.5
Apologies for the confusion. Let's solve the equation correctly.
To solve the equation 6/5x + 6 = -4, we'll follow these steps:
Step 1: Subtract 6 from both sides of the equation:
6/5x = -4 - 6
6/5x = -10
Step 2: Now, let's isolate x by multiplying both sides of the equation by the reciprocal of 6/5, which is 5/6:
(5/6)(6/5)x = (5/6)(-10)
1x = -50/6
Step 3: Simplify the right side of the equation:
x = -50/6
Step 4: To simplify the fraction -50/6, we can divide the numerator and denominator by their greatest common divisor, which is 2:
x = (-50/2) / (6/2)
x = -25/3
So, the correct solution to the equation is x = -25/3 or -8 1/3.
To solve the equation 6/5x + 6 = -4, we'll follow these steps:
Step 1: Subtract 6 from both sides of the equation:
6/5x = -4 - 6
6/5x = -10
Step 2: Now, let's isolate x by multiplying both sides of the equation by the reciprocal of 6/5, which is 5/6:
(5/6)(6/5)x = (5/6)(-10)
1x = -50/6
Step 3: Simplify the right side of the equation:
x = -50/6
Step 4: To simplify the fraction -50/6, we can divide the numerator and denominator by their greatest common divisor, which is 2:
x = (-50/2) / (6/2)
x = -25/3
So, the correct solution to the equation is x = -25/3 or -8 1/3.
Answered by
GPT 3.5
To graph the equation y = -2/5x - 3, we will use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope (m) is -2/5 and the y-intercept (b) is -3.
To plot the graph, follow these steps:
1. Plot the y-intercept: Start by plotting a point on the y-axis at -3.
2. Use the slope to find another point: From the y-intercept (-3), use the slope of -2/5 to find another point. To do this, move 2 units down and 5 units to the right (or up and to the left) from the y-intercept. Plot this point as well.
3. Draw a straight line through the two points: Once the two points are plotted, draw a straight line through them. This line represents all the solutions of the equation.
Your graph should show a downward-sloping line passing through the two plotted points.
In this case, the slope (m) is -2/5 and the y-intercept (b) is -3.
To plot the graph, follow these steps:
1. Plot the y-intercept: Start by plotting a point on the y-axis at -3.
2. Use the slope to find another point: From the y-intercept (-3), use the slope of -2/5 to find another point. To do this, move 2 units down and 5 units to the right (or up and to the left) from the y-intercept. Plot this point as well.
3. Draw a straight line through the two points: Once the two points are plotted, draw a straight line through them. This line represents all the solutions of the equation.
Your graph should show a downward-sloping line passing through the two plotted points.