Simplify 7x^-8*(6x^3)

Problem

7*x(−8)⋅(6*x3)

Solution

1. Group the coefficients and the variables with the same base together.

7⋅6⋅x(−8)⋅x3

2. Multiply the numerical coefficients to find the new constant.

42⋅x(−8)⋅x3

3. Apply the product rule for exponents, which states that xa⋅xb=x(a+b)

42*x(−8+3)

4. Simplify the exponent by adding the integers.

42*x(−5)

5. Rewrite with a positive exponent using the rule x(−n)=1/(xn)

42/(x5)

Final Answer

7*x(−8)⋅(6*x3)=42/(x5)

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