Answer:
The answer to your question is 3
Step-by-step explanation:
Expression
3⁴ + 9² / 3³ - 9²
1.- Do the division
3⁴ + (9² / 3³) - 9²
Use law of exponents
3⁴ + (3⁴ / 3³) - 9²
3⁴ + 3⁴⁻³ - 9²
Simplify
3⁴ + 3 - 9²
2.- Convert 9² to base 3
3⁴ + 3 - 3⁴
3.- Simplify (associative property)
( 3⁴ - 3⁴ ) + 3
4.- Result
3
Answer:
40b
Step-by-step explanation:
40b-56+56
40b
hope this helps
Heres the answer hope it helps
Answer:
- <u><em>1. x = - 3</em></u>
- <u><em>2. y = -9</em></u>
<u><em></em></u>
Explanation:
The expressions are garbled. The correct expressions to determine the product of powers are:
1. What is the value of x in the product of powers
?
2. What is the value of y in the product of
?
3. What is the value of n in th product of
?
<h2>Solutions</h2>
<u />
<u>1. What is the value of x in the product of powers </u>
<u> ?</u>
Apply the rule of the <em>product of powers with the same base</em> to the left side of the equality.
The product of two powers with the same base is the base raised to the sum of the exponent:

Now the power on the left side has the same base as the power on the right side, so the exponents are the same:
<u />
<u>2. What is the value of y in the product of </u>
<u> ?</u>
Again, the product of the two powers on the left side is equal to the common base raised to the sum of the exponents:
On the left side, you get:

Then,

3. What is the value of n in th product of
?
Same rule:
Left side:

Left side equal to right side:

Let's rearrange the equation x + y = 6 to slope-intercept form. Solve for y.
x + y = 6
To get the y variable on the left-hand side alone, subtract x from each side.
x + y - x = 6 - x
y = 6 - x
Rearrange the right-hand side.
y = -x + 6
Now we have it in the slope-intercept form. And to find the slope, we look at the coefficient of x. But there is no coefficient of the -x term!
In all reality, there is. However, it's just 1. -1x is the same thing as -x. We don't show the 1 because it has no effect.
So, -1 is the slope.