Which expressions are equivalent to the equation
2 answers:
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.
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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