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-
brainly.com/question/17716713
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