9514 1404 393
Answer:
a = 3, b = 12, c = 13
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
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You seem to have ...

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<em>Additional comment</em>
I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.

Multiplication increases the number of times the base is a factor.

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

Answer:

Step-by-step explanation:
Eliminating a negative and changing our operation

Rewriting our equation with parts separated

Solving the whole number parts

Solving the fraction parts
![-\frac{5}{6} +\frac{1}{4} =[?]](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B6%7D%20%2B%5Cfrac%7B1%7D%7B4%7D%20%3D%5B%3F%5D)
Find the LCD of 5/6 and 1/4 and rewrite to solve with the equivalent fractions.
LCD = 12

Combining the whole and fraction parts

[RevyBreeze]
Answer:

Step-by-step explanation:
Given that ∆KLM ~ ∆RSK,
(similarity theorem)
KL = 65
KR = 65 - 52 = 13
KM = 60
KS = ?

Cross multiply




Answer:
x = 0.1, y = 0.075
Step-by-step explanation:
Given the 2 equations
27x + 24y = 4.5 → (1)
1.5x + y = 0.225 → (2)
Multiplying (2) by - 24 and adding to (1) will eliminate the y- term
- 36x - 24y = - 5.4 → (3)
Add (1) and (3) term by term to eliminate y
- 9x = - 0.9 ( divide both sides by - 9 )
x = 0.1
Substitute x = 0.1 into either of the 2 equations and solve for y
Substituting into (2)
1.5(0.1) + y = 0.225
0.15 + y = 0.225 ( subtract 0.15 from both sides )
y = 0.075