Mastering Multiplication and Division of Powers with Integer Exponents

The video tutorial covers exponent properties, focusing on integer exponents. It explains how to multiply and divide numbers with the same base by adding or subtracting their exponents. The tutorial includes examples with both numbers and variables, demonstrating the cancellation of terms and the simplification of expressions. The video also explains the reasoning behind these properties, ensuring a deeper understanding of the concepts.

What is the result of 4 to the power of -3 times 4 to the power of 5?

• 4 to the power of 3

• 4 to the power of -2

• 4 to the power of 8

• 4 to the power of 2

When multiplying bases with exponents, what operation is performed on the exponents?

• Subtraction

• Multiplication

• Addition

• Division

Why does multiplying powers with the same base work by adding their exponents?

• Because of the law of multiplication

• Due to the fundamental theorem of algebra

• Because of the distributive property

• It's a property of exponents

What does A to the power of -4 times A squared equal?

• A to the power of -2

• A to the power of 6

• A to the power of 2

• A to the power of -6

In the expression A to the power of -4 times A squared, why does it simplify to A to the power of -2?

• Because you divide the exponents

• Because you subtract the exponents

• Because you add the exponents

• Because you multiply the exponents

How do you simplify expressions with the same base being divided?

• Add the exponents

• Multiply the exponents

• Divide the exponents

• Subtract the exponents

What is 12 to the power of -7 divided by 12 to the power of -5?

• 12 to the power of -2

• 12 to the power of 2

• 12 to the power of 12

• 12 to the power of -12

What does the expression 12 to the power of -7 times 12 to the power of 5 simplify to?

• 12 to the power of -2

• 12 to the power of 2

• 12 to the power of -12

• 12 to the power of 12

What is the result of X to the power of -20 divided by X to the power of 5?

• X to the power of -15

• X to the power of 15

• X to the power of 25

• X to the power of -25

What does the exponent rule say when you divide two powers with the same base?

• Subtract the numerator exponent from the denominator exponent

• Subtract the denominator exponent from the numerator exponent

• Add the exponents

• Multiply the exponents