Respuesta :

Answer: (8^5)(8^8)

Step-by-step explanation:

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The multiplication expression with a product of 8¹³ will be  8⁵ × 8⁸.

What is the law of indices?

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In another word the mathematics of power or exponent of any number is called indices.

For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.

Another example could be 7² = 7³/7 here we divide to obtain power 2.

An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.

Given,

8¹³

By the law of indices that [tex]x^{c}[/tex] = [tex]x^{a}[/tex] [tex]x^{b}[/tex] such that c = a + b.

So,

8¹³  = 8⁵ × 8⁸

So it will the multiplication expression with a product of 8¹³.

To learn more about indices,

https://brainly.com/question/170984

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