A juice box is 2 inches long 1.5 inches and 4 inches tall. A package has 6 juice boxes, a shipping box holds exactly 24 packages of juice boxes. What is the volume of the shipping box

Answer:

22x5z8

Step-by-step explanation:

xz3*4x4z5 

Final result :

22x5z8

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(22xz3 • x4) • z5

Step  2  :

Multiplying exponential expressions :

 2.1    z3 multiplied by z5 = z(3 + 5) = z8

Final result :

22x5z8

Final answer:

The given expression xz^3*4x^4z^5 can be simplified by adding the exponents of same variables when they are multiplied resulting in the simplified expression 4x^5z^8.

Explanation:

Yes, it's possible to simplify the expression xz^3*4x^4z^5. The rule here involves combining the same variables and adding their exponent parts. First, let's look at x terms. You have x in both terms, one is x^1 (since an x without any shown exponent has 1 as exponent) and another is x^4, so when you multiply them (x^1 * x^4), you add their exponents to get x^5. Similarly for the z term: you have z raised to the power of 3 in the first term and z raised to the power of 5 in the next. When you multiply them (z^3 * z^5), you add their exponents to get z^8. The constant 4 is also being multiplied here and is retained in the final answer. In conclusion, the simplified expression will be 4x^5z^8.

Learn more about Simplifying expressions here:

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B is the correct answer.