1.4.2.1: Exercises

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Leah Griffith, Veronica Holbrook, Johnny Johnson & Nancy Garcia
Rio Hondo College

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Section 1.4.3.1 Exercises

True or False. If false, correct the statement.
1. \( (3ab)^3=9a^3b^3\)
2. \( \dfrac{49x^2y^4}{36z^6}=\Bigg(\dfrac{7xy^2}{6z^3}\Bigg)^2\)
3. \( \Bigg (\dfrac{xy}{z} \Bigg )^{-5}= \dfrac{z^5}{xy^5}\)
Simplify the product.
1. \( (9ab^2)^4\)
2. \( (10x)^2(5x)^3\)
3. \( (-2p^3qr^2)^5\)
Simplify the quotient. Write in simplest terms.
1. \(\Bigg(\dfrac{5a^2b}{6ab^2}\Bigg)^3\)
2. \(\Bigg(\dfrac{8p^3q^4}{-2pq}\Bigg)^2 \)
3. \(\Bigg(\dfrac{2xy}{4x^2}\Bigg)^{-4} \)
Simplify the expression. Write in simplest terms.
1. \((7ab)^2(5bc)^3(2ac)^4 \)
2. \( \Bigg(\dfrac{3pq^2}{4r^3}\Bigg)^3\Bigg(\dfrac{2p^3r}{qt^2}\Bigg)^5\)
3. \( \Bigg(\dfrac{(2xy)(3x^2)^4}{4x^2y^{-3}}\Bigg)^{4}\)