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Sonja [21]
3 years ago
14

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

SAT
2 answers:
timama [110]3 years ago
7 0

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

<u>Given the following data:</u>

  • (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}

<u>Where:</u>

  • 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

<u>Complete Question:</u>

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

topjm [15]3 years ago
4 0

Answer:

Explanation:

D. 256h^28k^8

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