Write two equivalent expressions. Use a negative exponent in one of the expressions

Question

Algebra question about exponents and exponential functions

Answer 1

The term "equivalent" means "of equal value."

 

So, when we write a = b, we mean that the value of a is the same as the value of b.

 

We can write such an expression using any terms. So, we can write a² = b², which means "the square of the value of a equals the square of the value of b".

 

Algebra permits us to express equality in different ways. Here are some examples: a = b, -a = -b, √a = √b, a² = b².

 

We can also write inverses, such as 1/a = 1/b, 1/a² = 1/b²,

and a^-2 = 1/a² and aⁿ/a^m = 1/a^m-n= a^n-m , (a^-n • b)/c =  b/ (aⁿ • c)

 

And so on.