91Ó°ÊÓ

Simplify the following problems using the commutative property of multiplication. You need not use the distributive property. $$ 8 x 3 y $$

Use the power rules for exponents to simplify the following problems. Assume that all bases are nonzero and that all variable exponents are natural numbers. $$ \left(\frac{4^{2} a^{3} b^{7}}{b^{5} c^{4}}\right)^{2} $$

For the following problems, use the distributive property to expand the quantities. $$(x+10)(a+b+c)$$

Simplify the following problems using the commutative property of multiplication. You need not use the distributive property. $$ 16 a b 2 c $$

Use the power rules for exponents to simplify the following problems. Assume that all bases are nonzero and that all variable exponents are natural numbers. $$ \left[\frac{x^{2}(y-1)^{3}}{(x+6)}\right]^{4} $$

Use the product rule and quotient rule of exponents to simplify the following problems. Assume that all bases are nonzero and that all exponents are whole numbers. $$ \frac{e^{11}}{e^{11}} $$

Use the order of operations to simplify the quantities for the following problems. $$ \frac{5\left[8^{2}-9(6)\right]}{2^{5}-7}+\frac{7^{2}-4^{2}}{2^{4}-5} $$

Use the product rule and quotient rule of exponents to simplify the following problems. Assume that all bases are nonzero and that all exponents are whole numbers. $$ \frac{6 r^{4}}{6 r^{4}} $$

Use the power rules for exponents to simplify the following problems. Assume that all bases are nonzero and that all variable exponents are natural numbers. $$ \left(x^{n} t^{2 m}\right)^{4} $$

Use the order of operations to simplify the quantities for the following problems. $$ \frac{(2+1)^{3}+2^{3}+1^{3}}{6^{2}}-\frac{15^{2}-[2(5)]^{2}}{5 \cdot 5^{2}} $$