Question

Which expression is equivalent to [4h^7k^2]^4?

Answer 1

Answer:

614656h²⁸k⁸

Step-by-step explanation:

Exponent Power Rule: $(b^m)^n=b^{mn}$

Step 1: Write expression

[4h⁷7k²]⁴

Step 2: Distribute power 4 to each term

4⁴h⁷⁽⁴⁾7⁴k²⁽⁴⁾

Step 3: Simplify

256h⁷⁽⁴⁾2401k²⁽⁴⁾

614656h⁷⁽⁴⁾k²⁽⁴⁾

Step 4: Use Exponent Rule

614656h²⁸k⁸