# Algebra Examples

Write Using Negative Exponents
Simplify .
Write as a fraction with denominator .
Multiply and to get .
To write the polynomial using negative exponents, take each expression individually.
Start with the expression . First, save the coefficient. Then, cycle through each variable. If the exponent is positive, switch it to negative and put the variable in the denominator of the answer.
A polynomial consists of terms, which are also known as monomials. The leading term in a polynomial is the highest degree term. In this case, the leading term in is the first term, which is .
The leading coefficient in a polynomial is the coefficient of the leading term. In this case, the leading term is and the leading coefficient is .
The exponent for variable is . Since the exponent is positive, switch it to negative and put the variable in the denominator.
Start with the expression . First, save the coefficient. Then, cycle through each variable. If the exponent is positive, switch it to negative and put the variable in the denominator of the answer.
A polynomial consists of terms, which are also known as monomials. The leading term in a polynomial is the highest degree term. In this case, the leading term in is the first term, which is .
The leading coefficient in a polynomial is the coefficient of the leading term. In this case, the leading term is and the leading coefficient is .
The exponent for variable is . Since the exponent is positive, switch it to negative and put the variable in the denominator.
Add each new term to find the polynomial written with negative exponents.

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