Question

What is the answer pls i need help

Answer 1

On simplifying the given expression using the laws of exponents, we get → 15s⁻¹t⁶u⁻⁷v⁻⁵.

What are exponents?

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

#SPJ1