Simplifying Negative Exponents in Algebra

This video tutorial covers the concept of negative exponents, explaining how to simplify expressions by converting negative exponents to positive ones. It provides examples of multiplying and dividing expressions with exponents, including advanced problems. The tutorial also demonstrates how to handle division problems involving exponents and concludes with a final example to reinforce the concepts learned.

What is the result of 4 squared?

• 8

• 16

• 4

• 12

How do you make a negative exponent positive?

• Subtract the exponent from zero

• Divide the base by itself

• Multiply the base by itself

• Move the base to the opposite position in the fraction

What is the simplified form of x cubed times x to the negative eight?

• x to the fifth

• x to the eleventh

• 1 over x to the fifth

• 1 over x to the eleventh

When multiplying bases with exponents, what should you do with the exponents?

• Multiply them

• Divide them

• Subtract them

• Add them

What happens to the exponent when you move the base across the fraction line?

• It becomes zero

• It is squared

• It doubles

• It becomes positive if it was negative

How do you simplify an expression raised to the zero power?

• It becomes zero

• It becomes one

• It becomes negative one

• It remains unchanged

What is the simplified form of 3a to the negative four divided by b to the negative six?

• 3a to the fourth over b to the sixth

• 3 over a to the fourth times b to the sixth

• 3 over a to the fourth over b to the sixth

• 3a to the fourth times b to the sixth

What is the result of dividing exponents with the same base?

• Subtract the exponents

• Divide the exponents

• Multiply the exponents

• Add the exponents

How do you simplify a fraction where both the numerator and the denominator are divisible by the same number?

• Subtract the number from both

• Multiply both by the number

• Divide both by the number

• Add the number to both

What is the result of (x to the negative three over x to the eighth) raised to the second power?

• x to the negative 11

• x to the 11

• x to the 22

• x to the negative 22