Use Multiplication Distribute Property: (xy)^a = x^ay^a
6^2(x^-2)^2(0.5x)^4
Simplify 6^2 to 36
36(x^-2)^2(0.5x)^4
Use this rule: (x^a)^b = x^ab
36x^-4(0.5x)^4
Use the Negative Power Rule: x^-a = 1/x^a
36 × 1/x^4(0.5x)^4
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
36 × 1/x^4 × 0.5^4x^4
Simplify 0.5^4 to 0.0625
36 × 1/x^4 × 0.0625x^4
Simplify
2.25x^4/x^4
Cancel x^4
<u>2.25</u>
Answer:

Step-by-step explanation:



Step by step explanation
Cost of one hotdog =140/56=2.5
To find the number of hot dogs =total cost so the cost of one hotdog is =175/2.5=70
So the numbers of hot dogs he had to sell more of =70-56=14
9514 1404 393
Answer:
B: Equation containing fractions
Step-by-step explanation:
A proportion equates two fractions.
A fractional equation contains the unknown in the denominator of one or more terms. (A proportion may be written as a fractional equation.)
Here, the equation has the variable in the numerator of the terms in which it appears, so the equation is not a fractional equation. It is not equating two fractions, so is not a proportion. It contains fractions, so it is an ...
equation containing fractions
_____
Multiplying the equation by 36 gives ...
3x = 204 -8x -180 +9x
2x = 24 . . . . . subtract x
x = 12 . . . . . . .divide by 2