s90552323
Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.