Question

Mathematics

- a. Write an equivalent expression for
.

b. Describe the Law of Exponent that you applied.

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Best Answer

a. By using the product rule of exponentiation, we can multiply the powers with the same base by adding the exponents. Therefore, we have:

So, an equivalent expression for is .

b. The law of exponent that we applied here is the product rule, which states that when multiplying powers with the same base, we can add their exponents. Mathematically,

b. The law of exponent that we applied here is the product rule, which states that when multiplying powers with the same base, we can add their exponents. Mathematically,

In this case, we used the product rule to simplify the multiplication of and by adding their exponents and getting .