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Sagot :
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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