Question

Which expression is equivalent to mc019-1. Jpg? mc019-2. Jpg mc019-3. Jpg mc019-4. Jpg mc019-5. Jpg.

Answer 1

The mathematical expression that is equivalent to the given expression is $256h^{28} k^{8}$.

Given the following data:

• $(4h^7k^2)^4$

To determine the mathematical expression that is equivalent to the given expression:

In order to solve this mathematical expression, we would apply the Index Law for Powers (fourth law of indices), which states that when the power of a number is raised to another power, the powers (indices) should be multiplied together.

Mathematically, the Index Law for Powers (fourth law of indices) is given by the formula:

$(a^m)^n = a^{mn}$

Where:

• m and n are the powers.

• a is the number.

Applying this law, we have:

$(4h^7k^2)^4 = 4^4 \times (h^{7\times 4}) \times (k^{2\times 4})\\\\(4h^7k^2)^4 = 256 \times h^{28} \times k^{8}\\\\(4h^7k^2)^4 = 256h^{28} k^{8}$

Read more on indices here: brainly.com/question/14484141

Complete Question:

Which expression is equivalent to $(4h^7k^2)^4$?

Answer 2

Answer:

Explanation:

D. 256h^28k^8