Answer:
We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).
Step-by-step explanation:
For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?
When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.
For this example, I recognize that the power rule of exponents is being used:
So let's apply this rule to the given equation.
(3^5)^4 = (3^4)^5
3^(5*4) = 3^(4*5)
3^20 = 3^20
Now we know both sides of the equation equal 3^20 (or 3486784401).
Answer:
217648314.791
Step-by-step explanation:
Answer: 13 ft
Step-by-step explanation: The bottom of the 14 foot ramp is equivalent to about 12.98 feet.
We know that
[volume of larger figure]=[scale]³*[volume of smaller figure]
scale=∛(volume of larger figure/volume of smaller figure)
scale=∛(2744/729)-----> 1.56
[surface area of the larger figure]=scale²*[<span>surface area of the smaller figure]
</span>[surface area of the smaller figure]=[surface area of the larger figure]/scale²
[surface area of the smaller figure]=[392]/1.56²----> 162 mm²
the answer is
the surface area of the smaller figure is 162 mm²
Answer:
( a+b) (a-b)
x^2 - 50
Step-by-step explanation:
The formula for difference of squares is
a^2 - b^2 = ( a+b) (a-b)
121x^2 -144 = (11x)^2 - 12^2 so this is the difference of squares
x^2 - 16y^2 = (x)^2 - (4y)^2 so this is the difference of squares
9x^2 -64 = (3x)^2-8^2 so this is the difference of squares
x^2 - 50 = (x)^2 - 2*(5)^2 this is not the difference of squares
