Algebra Examples

Write Using Negative Exponents
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.
For the expression , add the coefficient to the answer.
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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.
Add each new term to find the polynomial written with negative exponents.
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