All Algebra II Resources
Example Questions
Example Question #421 : Exponents
Simplify:
When dividing exponents with the same base, we subtract the exponents while keeping the base the same.
Example Question #422 : Exponents
Simplify:
When dividing exponents with the same base, we subtract the exponents while keeping the base the same.
Example Question #423 : Exponents
Simplify:
When dividing exponents with the same base, we subtract the exponents while keeping the base the same.
Example Question #424 : Exponents
Simplify:
Although the bases are not the same, we know that . Therefore, . When multiplying exponents with the same base, we just add the exponents and keep the base the same.
Example Question #425 : Exponents
Simplify:
Although the base is not the same, we know that . Therefore . When dividing exponents with the same base, we subtract the exponents while keeping the base the same.
Example Question #426 : Exponents
Simplify:
To simplify, we can subtract the numerator and denominator exponents from like terms, with negative exponents in the denominator adding to those in the numerator, and positive ones in the numerator subtracting from those in the denominator:
Next, we can distribute the negative exponent to the terms inside the parentheses (property of exponents):
Finally, add the exponents of the like base terms (property of exponents), because everything is multiplied together, but keep in mind that the q term is in the denominator (so its exponent is negative when in the numerator):
Example Question #427 : Exponents
Simplify:
When exponents with the same base are divided, we will simply subtract the exponents and keep the base the same.
Divide:
Example Question #428 : Exponents
Simplify:
When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.
Multiply:
Example Question #3561 : Algebra Ii
Simplify:
When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.
Multiply:
Example Question #3562 : Algebra Ii
Simplify:
When exponents with the same base are multiplied together, we we will simply add the exponents and keep the base the same.
Multiply: