Simplify 4r^-3*(2r^2)

Problem

4*r(−3)⋅(2*r2)

Solution

1. Group the numerical coefficients and the variable terms together.

4⋅2⋅r(−3)⋅r2

2. Multiply the numerical coefficients.

8⋅r(−3)⋅r2

3. Apply the product rule for exponents, which states that am⋅an=a(m+n) by adding the exponents of r

8*r(−3+2)

4. Simplify the exponent.

8*r(−1)

5. Rewrite the expression using positive exponents by applying the rule a(−n)=1/(an)

8/r

Final Answer

4*r(−3)⋅(2*r2)=8/r

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