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Q9: Simplify
(r^-3)^-7r^7
To simplify the expression (r^-3)^-7r^7, we need to follow the order of operations:
1. Simplify the exponent of r^-3 by multiplying it with the exponent outside the parenthesis:
(r^-3)^-7 becomes r^-3 * -7 = r^-21
2. Multiply the exponents of r:
r^-21 * r^7 = r^-21 + 7 = r^-14
Therefore, the simplified expression is r^-14.