Can I get help on 1,2 and 5?

Question 1:

Question 2:

Question 5: The dimensions of one face of the container are 6 by 6 inches.

Step-by-step explanation:

Hi there!

Question 1

Rewrite 64 as a power of 3:

(We could find that 4³ = 64 through trial and error)

This above equation makes it true that x=4. If aⁿ = bⁿ, then a=b:

Question 2

Rewrite 49 as a power of 2:

Again, we could have found this through trial and error, or by looking at our multiplication tables.

However, remember that positive and negative numbers will all square to be a positive number. So, therefore, x can be -7 OR 7 (since both, when squared, equal 49):

Question 5

Let x be equal to the length of one edge of the cube.

Volume of a cube formula:

Plug in the given information, when V is the volume:

Rewrite 216 as a power of 3:

^ We could have found this through trial and error.

Therefore, the dimensions of one face of the container are 6 by 6 inches.

I hope this helps!

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363