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zaharov [31]
2 years ago
5

Which expressions are equivalent to the equation

Mathematics
2 answers:
Dmitry [639]2 years ago
8 0

Answer:

Choice B is correct.

Step-by-step 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.

Ivahew [28]2 years ago
5 0

Answer:

The correct answer is option 3

2⁻¹⁰ and 1/1024

Step-by-step explanation:

Points to remember

1). ( xᵃ)ᵇ = xᵇ

2).  x⁻ᵃ = 1/xᵃ

It is given that, (2⁵)⁻²

<u>To find the equivalent of (2⁵)⁻²</u>

(2⁵)⁻² =  2⁻¹⁰

<u>To find the value of 2⁻¹⁰</u>

2⁻¹⁰ = 1/2¹⁰

2¹⁰ = 1024

1/2¹⁰ = 1/1024

Therefore the correct answer is 3rd option

2⁻¹⁰ and 1/1024

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