54.1k views
8 votes
Which expressions are equal to 6^3•2^6/ 2^3

Which expressions are equal to 6^3•2^6/ 2^3-example-1

1 Answer

4 votes

Answer:

2^6 x 3^3 and 12^3

Explanation:

First, solve

6^3 x 2^6/2^3

216 x 64/8

13824/8 = 1728

lets solve for the answers

6^3 = 216

Therefore, 6^3 is not an answer

2^6 x 3^3= 64 x 27 = 1728

because both expressions are equal to 1728, this is an answer. this answer can also eliminate 2^3 x 3^3 because it has a lower exponent than the answer that is equal to 1728. therefore, the value of it must be smaller than 1728

12^3 = 1728

This answer is correct, because both values are equal to each other, meaning that 12^6 is larger than 1728

Therefore, your answers will be 2^6 x 3^3 and 12^3

User Utkarsh Bhatt
by
4.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.