Question

Which expressions are equivalent to the equation

Answer 1

Choice B is correct.

Explanation:

We have given the expression.

(2⁵)⁻²

We have to simplify it.

We know that :

(a²)³=a⁶

So, above expression is :

2⁻¹⁰

As we also know that:

a⁻¹ = 1/a

So,the expression is:

1/2¹⁰

As 2¹⁰ = 1024

So, 1/2¹⁰ = 1/1024

1/1024 is the simplification.

Answer 2

The correct answer is option 3

2⁻¹⁰ and 1/1024

Explanation:

Points to remember

1). ( xᵃ)ᵇ = xᵇ

2). x⁻ᵃ = 1/xᵃ

It is given that, (2⁵)⁻²

To find the equivalent of (2⁵)⁻²

(2⁵)⁻² = 2⁻¹⁰

To find the value of 2⁻¹⁰

2⁻¹⁰ = 1/2¹⁰

2¹⁰ = 1024

1/2¹⁰ = 1/1024

Therefore the correct answer is 3rd option

2⁻¹⁰ and 1/1024