In order to easily picture out the operation involving fractions, let's write it in an algebraic equation. So, the above description is written as
20x⁶/15y⁵ × 5y²/6x⁴
The first thing to do is to simplify the easiest terms: the constants. Just multiply all the constants on the numerator and all the constants on the denominator independently. The simplified constant becomes
(20*5)/(15*6) = 10/9
So, the equation to be solved now is
10x⁶y²/9y⁵ x⁴
So, I also multiplied all the variables in the numerator and denominator independently, just like the constants. Then, you apply the laws of exponents. When you divide terms with exponents of the same value of the base, you subtract the exponent on the numerator minus the denominator. It goes like this:
10/9 * x⁶⁻⁴*y²⁻⁵ = 10/9*x²y⁻³
Now, when the exponent as written to the power of a negative exponent, just simply take its reciprocal to make it positive. So, the final answer is
10x²/9y³ or that is letter D.
Answer:
3 scoops of flour
Step-by-step explanation:
Three scoops of flour because 24/2 is 12 so for every 12 cookies she needs 1 scoop of flour. With this information we can get 3 scoops as our answer. I hope this helps!
Answer: Rhombus
A rhombus is a quadrilateral with all four sides the same length. If all four angles are the same (all 90 degrees), then the rhombus is more specifically a square. Any rhombus is a parallelogram which is why we have congruent opposite pairs of angles.
Hello!
To calculate how much the birdseed would cost per pound, we must divide the cost of 7 pounds ($15.89) by the number of pounds (7):
15.89 ÷ 7 = 2.27
Therefore, each pound of the birdseed costs $2.27.
The tallest building in my area is the reunion tower which is 562 ft and the difference is 1106