Question

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Explain the zero exponent property, the product property of exponents, and the quotient property of exponents to simplify powers.​

Answer 1

The zero exponent property states that any nonzero number raised to the power of zero is equal to 1. The product property of exponents allows you to add the exponents when multiplying expressions with the same base. The quotient property of exponents allows you to subtract the exponents when dividing expressions with the same base.

Step-by-step explanation:

Zero Exponent Property:

The zero exponent property states that any nonzero number raised to the power of zero is equal to 1. For example, 3^0 = 1.

Product Property of Exponents:

The product property of exponents states that when you multiply two expressions with the same base, you can add their exponents. For example, (2^3) * (2^4) = 2^(3+4) = 2^7.

Quotient Property of Exponents:

The quotient property of exponents states that when you divide two expressions with the same base, you can subtract their exponents. For example, (5^8) / (5^2) = 5^(8-2) = 5^6.

Answer 2

the zero exponent indicates that there are no factors of a number. for example simplify each of the following expressions using the zero exponent rule for exponents.write each expression using only positive exponents.

the product of powers property states that when multiplying two exponents with the same base , you can addthe exponents and keep the base