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Which expression is equivalent to _?

Which Expression Is Equivalent To class=

Sagot :

wegnerkolmp2741o

Answer:

2^-1

Step-by-step explanation:

2^2 *2 / 2^4

We know that 2^2 * 2 = 2^2 *2^1

a^b*a*c = a^(b+c)  so 2^2*2*1 = 2^(2+1)+ 2^3

2^3 / 2^4

We know that a^b / a^c = a^(b-c)

2^3 /2^4 = 2^(3-4) =2^-1

The equivalent of the given expression 2² × (2/2⁴) when simplified is; 2⁻¹

How to simplify exponents?

We are given the exponents expression;

2² × (2/2⁴)

Let us first multiply out the numerator to get;

2² × 2 = 2³

Thus, our overall expression is;

2³/2⁴

According to laws of exponents;

a^(b)/a^(c) = a^(b-c)

Thus;

2³/2⁴ = 2³⁻⁴

⇒ 2⁻¹

Read more about Exponents at; https://brainly.com/question/11761858

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