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## Exponent Laws: An Investigation

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**Exponent Laws:**An Investigation**1st Law: Product of Powers**Write the expanded form of the first product in the table.**1st Law: Product of Powers**Write the expanded form of the first product in the table.**1st Law: Product of Powers**Now write it as a single power.**1st Law: Product of Powers**Now write it as a single power.**1st Law: Product of Powers**Repeat the previous two instructions for the remaining products in the table.**1st Law: Product of Powers**Repeat the previous two instructions for the remaining products in the table.**1st Law: Product of Powers**Repeat the previous two instructions for the remaining products in the table.**1st Law: Product of Powers**Repeat the previous two instructions for the remaining products in the table.**1st Law: Product of Powers**Repeat the previous two instructions for the remaining products in the table.**1st Law: Product of Powers**Repeat the previous two instructions for the remaining products in the table.**1st Law: Product of Powers**Repeat the previous two instructions for the remaining products in the table.**1st Law: Product of Powers**Repeat the previous two instructions for the remaining products in the table.**1st Law: Product of Powers**Repeat the previous two instructions for the remaining products in the table.**In General:**When multiplying powers with the same base, keep the base and add the exponents.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**2nd Law: Quotient of Powers**For each quotient, write both its parts in expanded form and then as a single power.**In General:**When dividing powers with the same base, keep the base and subtract the exponents.**3rd Law: Powers of Powers**Write each power of a power in expanded form and then as a single power.**3rd Law: Powers of Powers**Write each power of a power in expanded form and then as a single power.**3rd Law: Powers of Powers**Write each power of a power in expanded form and then as a single power.**3rd Law: Powers of Powers**Write each power of a power in expanded form and then as a single power.**3rd Law: Powers of Powers**Write each power of a power in expanded form and then as a single power.**3rd Law: Powers of Powers**Write each power of a power in expanded form and then as a single power.**3rd Law: Powers of Powers**Write each power of a power in expanded form and then as a single power.**In General:**When writing a power of a power as a single power, keep the base and multiply the exponents.**Write each as a single power, then evaluate using a**calculator. a) b) c)**Write each as a single power, then evaluate using a**calculator. a) b) c)**Write each as a single power, then evaluate using a**calculator. a) b) c)**Write each as a single power, then evaluate using a**calculator. a) b) c)**Write each as a single power, then evaluate using a**calculator. a) b) c)**Write each as a single power, then evaluate using a**calculator. a) b) c)**Write each as a single power, then evaluate using a**calculator. a) b) c)**Simplify.**a) b) c)**Simplify.**a) b) c)**Simplify.**a) b) c)