Question

how do properties of integer exponents help you write equivalent expression?

Answer 1

The properties of integer exponents can be used to write equivalent expressions by combining numeric or algebraic expressions that have a common base, distributing exponents to products and quotients, and simplifying powers of powers.

Answer 2

Properties of integer exponent is a way of writing the product or quotient of integers to a particular exponent and having the same base by combining the power by adding or subtracting.

Properties of integers can be likened to the law of indices. It is a way of writing the product or quotient of integers to a particular exponent and having the same base by combining the power by adding or subtracting.

For instance:

$a^m \times a^n=a^{m+n}\\\frac{a^m}{a^n} =a^{m-n}$

Using integer values;

$2^3 \times 2^5 = 2^{3+5}=2^8$

We can see that since the bases are equal, the exponents can be combined by adding. These are properties of integer exponents

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