Algebra 1 : Variables
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #41 : How To Multiply Monomial Quotients
Multiply the following monomial quotients:
To solve this problem, split it into two steps:
1. Multiply the coefficients
2. Multiply the variables. We also need to remember the following laws of exponents rule: When multiplying variables, add the exponents.
Combine these to get the final answer:
Example Question #571 : Variables
Multiply the following monomial quotients:
To solve this problem, split it into two steps:
1. Multiply the coefficients
2. Combine this with the lone variable to get the final answer:
Example Question #572 : Variables
Simplify the following:
To solve, simply multiply numerators and denominators and then simplify. Thus,
Example Question #573 : Variables
Choose the answer that is equal to 
First multiply 4 and 12 to get the expression
Then remember that to multiple like terms with exponents, add the exponents.
This gives the answer, 
Example Question #45 : How To Multiply Monomial Quotients
Choose the expression that is equal to 
Remember that to multiply like variables with exponents you add the exponents.
This gives 
Also remember that a variable raised to a negative exponential is the same as 1/that same variable to that positive exponential.
For example, 
This thinking leads to the answer 
Example Question #46 : How To Multiply Monomial Quotients
Multiply:
Write out the factors of the second term to see what terms can be cancelled in the numerator and denominator.
After cancellation of common terms, the answer is:
Example Question #47 : How To Multiply Monomial Quotients
Simplify the expression 
The degree of a monomial term is the sum of its exponents, which here is
Example Question #574 : Variables
Simplify the expression 
The exponent of 
Example Question #153 : Monomials
Simplify: 
What is the exponent of 
1, in the numerator
1, in the denominator
2, in the denominator
2, in the numerator
1, in the denominator
The exponent of 
Example Question #4811 : Algebra 1
Simplify: 
What is the exponent of 
2, in the denominator
1, in the denominator
1, in the numerator
2, in the numerator
2, in the numerator
To simplify this expression use the law of exponents which state that when a term is raised to a power, multiply the exponents. Also, when terms of like bases are divided the exponents are subtracted.
The exponent of 
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