91Ó°ÊÓ

For Problems \(88-97\), find each of the indicated products. Assume that the variables in the exponents represent positive integers; for example, $$ \left(x^{2 n}\right)\left(x^{4 n}\right)=x^{2 n+4 n}=x^{6 n} $$ $$ \left(x^{6 n-1}\right)\left(x^{4}\right) $$

For Problems \(82-112\), use one of the appropriate patterns \((a+b)^{2}=a^{2}+2 a b+b^{2},(a-b)^{2}=a^{2}-2 a b+b^{2}\), or \((a+b)(a-b)=a^{2}-b^{2}\) to find the indicated products. $$ (2 x+3 y)(2 x-3 y) $$

For Problems \(88-97\), find each of the indicated products. Assume that the variables in the exponents represent positive integers; for example, $$ \left(x^{2 n}\right)\left(x^{4 n}\right)=x^{2 n+4 n}=x^{6 n} $$ $$ \left(2 x^{n}\right)\left(3 x^{2 n}\right) $$

In 2005, Wal-Mart reported that they served 138,000,000 customers worldwide each week. Write, in scientific notation, the number of customers for each week.

For Problems \(82-112\), use one of the appropriate patterns \((a+b)^{2}=a^{2}+2 a b+b^{2},(a-b)^{2}=a^{2}-2 a b+b^{2}\), or \((a+b)(a-b)=a^{2}-b^{2}\) to find the indicated products. $$ (3 a-b)(3 a+b) $$

For Problems \(95-106\), write each number in standard decimal form; for example, \((1.4)\left(10^{3}\right)=1400\). $$ (8)\left(10^{3}\right) $$

For Problems \(88-97\), find each of the indicated products. Assume that the variables in the exponents represent positive integers; for example, $$ \left(x^{2 n}\right)\left(x^{4 n}\right)=x^{2 n+4 n}=x^{6 n} $$ $$ \left(4 x^{3 n}\right)\left(-5 x^{7 n}\right) $$

For Problems \(82-112\), use one of the appropriate patterns \((a+b)^{2}=a^{2}+2 a b+b^{2},(a-b)^{2}=a^{2}-2 a b+b^{2}\), or \((a+b)(a-b)=a^{2}-b^{2}\) to find the indicated products. $$ (1-5 n)^{2} $$

For Problems \(95-106\), write each number in standard decimal form; for example, \((1.4)\left(10^{3}\right)=1400\). $$ (6)\left(10^{2}\right) $$

For Problems \(88-97\), find each of the indicated products. Assume that the variables in the exponents represent positive integers; for example, $$ \left(x^{2 n}\right)\left(x^{4 n}\right)=x^{2 n+4 n}=x^{6 n} $$ $$ \left(-6 x^{2 n+4}\right)\left(5 x^{3 n-4}\right) $$