On simplifying the given expression using the laws of exponents, we get → 15s⁻¹t⁶u⁻⁷v⁻⁵.
<h3>What are exponents?</h3>
An exponent refers to the number of times a number is multiplied by itself. Mathematically -
aˣ = a × a ×.... (x times)
Given is the following expression -
(9s⁰t⁷u⁰v⁻¹ . 5s⁰t⁰u²v⁰)/3stu⁹v⁴
We simplify the numerator separately and then the remaining question.
Assume that -
A = 9s⁰t⁷u⁰v⁻¹ × 5s⁰t⁰u²v⁰
B = 3stu⁹v⁴
Simplifying A, we get -
9s⁰t⁷u⁰v⁻¹ × 5s⁰t⁰u²v⁰
45 × s⁰⁺⁰ × t⁷⁺⁰ × u⁰⁺² × v⁻¹⁺⁰ [aˣ + aⁿ = aˣ⁺ⁿ]
45s⁰t⁷u²v⁻¹
Now, simplify → A/B
45s⁰t⁷u²v⁻¹ / 3stu⁹v⁴
15 x s⁰⁻¹ × t⁷⁻¹ × u²⁻⁹ × v⁻¹⁻⁴ [aˣ / aⁿ = aˣ ⁻ ⁿ]
15s⁻¹t⁶u⁻⁷v⁻⁵
Therefore, on simplifying the given expression using the laws of exponents, we get → 15s⁻¹t⁶u⁻⁷v⁻⁵.
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Answer:

Step-by-step explanation:




Answered by GAUTHMATH
Answer:
No only variable on both sides have no solution
Step-by-step explanation:
Then you can get,
for example x=x
or,
y=y
The value of x in f(x)=4 is 4 because the f in f(x) is just 'naming' the equation, saying that x=a number, in this case, 4.
Answer:
Option C.
Step-by-step explanation:
Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.
Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.
Using triangle proportionality theorem we get


On cross multiplication we get


Divide both sides by 9.

The length of SA is 3ft.
Therefore, the correct option is C.