what is the simplified expression for 3^3 x 3^3/ 3^4

The answer to this math question about simplifying this given fraction expression for is C). 3² or evaluated as 9.

Step-by-step explanation: Here are 3 steps in order to simplify a given basic fraction expression for

Step 1. When we multiply the given base and the given exponent, first, we'll need to add the exponents together for 3 that looks in the equation form like this:

Step 2. After we add the exponents together for 3 in order to multiply the given base and the given exponent, next, when we divide the given base and the given exponent, we'll need to subtract the exponents for 6 and 4 that looks in the equation form like this: 3⁶⁻⁴ = 3².

Step 3. Finally, after we subtract the exponents for 6 and 4 in order to divide the given base and the given exponent, and therefore, in conclusion, your answer to this math question about simplifying this given fraction expression for is 3².

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maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form