Simplify the expression (3p−4)2(p3)−1 so that no negative exponents appear in the final result. Assume that the variables represent nonzero real numbers.
Remove the negative exponent in the numerator by rewriting 3p−4 as 3p4. A negative exponent follows the rule: a−n=1an.
(3p4)2(p3)−1
Multiply 3 by 1 to get 3.
1p3⋅(3p4)2
Raising a number to the 2nd power is the same as multiplying the number by itself 2 times. In this case, 3p4 raised to the 2nd power is 9p8.
1p3⋅9p8
Multiply 1p3 by 9p8 to get 9p11.
9p11
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