Respuesta :

The simplification of (4a5b6)4 is (256a²⁰b²⁴)

Indices is a concept in mathematics that emphasis how many times a number is raised to a power or multiplied by itself.

Here, we are given (4a⁵b⁶)⁴

Then, we have:

= (4a⁵b⁶)⁴

[tex]\mathbf{=(4^4(a^{5\times 4}b^{6\times 4})}[/tex]

We will multiply each term in the bracket by the power of 4.

= (256a²⁰b²⁴)

Learn more about indices here:

https://brainly.com/question/10563917?referrer=searchResults

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