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# Simplify

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Asuming that p and q are nonzero simplify: $\dfrac{(pq^3)^3(4p^2q^2)^2}{(2pq^3)^3}$

Apr 20, 2022

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Write as: $${p^3 \times q^9 \times 4^2 \times p^4 \times q^4} \over 8p^3 \times q^9$$

Combining like terms, we get: $${16 \times p^7 \times q^{13}} \over {8 \times p^3 \times q^9}$$

To divide the remaining exponents, you take the power of the greater number and subtract that from the smaller number. For example, $$q^{13} \div q^9 = q^{13-9} = q^4$$. Now, you have to do these to the remaining terms.

Apr 20, 2022