Answer and Step-by-step explanation:
When multiplying two numbers (or variables) of the same exponent, the solution would have the exponents adding each other:
[tex]a^{x} * a^{y} = a^{x+y}[/tex]
When dividing two numbers (or variables) of the same exponent, the solution would have the exponents subtracting each other:
[tex]a^{x} / a^{y} = a^{x-y}[/tex]
When a number with an exponent is being raised to an exponent, the solution would have the exponents multiplying each other:
[tex](a^{x)^{y} } = a^{xy}[/tex]
When there are two variables in parentheses and an exponent on the outside, the exponent will power both variables:
[tex](ab)^{x} = a^{x} b^{x}[/tex]
Answer:
Product of powers rule. ...
Quotient of powers rule. ...
Power of a power rule. ...
Power of a product rule. ...
Power of a quotient rule. ...
Zero power rule. ...
Negative exponent rule.
