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.
To solve more questions on expression on exponents, visit the link below-
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Answer:
3/5 3:5 3 to 5
1/4 1 to 4 1:4
Step-by-step explanation:
well, BC is in Canada and is 1/11.
Vancouver is in BC and is 1/29 of BC.
so Vancouver is then 1/29 of 1/11, how much is that? well, is simply their product.

Answer:
JNM = KNL and JKL = LMJ
Step-by-step explanation:
Answer:factor of 9
Step-by-step explanation:
Given
prism were changed by a scale factor of 3
Suppose prism is rectangular in shape
So surface are is 
Where l=length
w=width
b=breadth
So new length,breadth and width is






So new surface area would change by a factor of 9