Using Properties of Exponents

The video tutorial addresses a standardized math test question about exponent properties. It explains how to simplify the expression 7 squared multiplied by 7 to the negative 4 using the product of powers property, which allows adding exponents with the same base. The result is 7 to the negative 2. The tutorial then covers the negative exponent property, which converts a negative exponent into a positive one by taking the reciprocal, resulting in 1 over 7 squared as the final answer.

What is the initial expression given in the problem?

• 7 squared multiplied by 7 to the power of 4

• 7 squared multiplied by 7 to the negative 4

• 7 to the power of 4 multiplied by 7 squared

• 7 to the negative 4 multiplied by 7 to the power of 2

According to the product of powers property, what should you do with the exponents when the bases are the same?

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

• Add the exponents

What is the result of adding the exponents 2 and -4?

• 6

• -2

• 0

• 2

What does the negative exponent property allow you to do with a base that has a negative exponent?

• Rewrite it as a reciprocal with a positive exponent

• Subtract the base from itself

• Add the base to itself

• Multiply the base by itself

What is the final simplified form of the expression 7 squared multiplied by 7 to the negative 4?

• 1 over 7 to the power of 4

• 7 to the power of 2

• 1 over 7 squared

• 7 to the power of -2