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Magazine Problem 30
Use properties of exponents to simplify each expression. First express the answer in exponential form. Then evaluate the expression. \(\frac{3^{4}}{3^{7}}\)
Problem 32
State the name of the property illustrated. \(6 \cdot(2 \cdot 3)=6 \cdot(3 \cdot 2)\)
Problem 33
Find the prime factorization of each composite number. 663
Problem 34
Find the prime factorization of each composite number. 510
Problem 34
Use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\frac{\left(x^{2}\right)^{5}}{\left(x^{3}\right)^{4}}\)
Problem 35
Find the prime factorization of each composite number. 885
Problem 37
Use properties of exponents to simplify each expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero. \(\frac{2 x^{5} \cdot 3 x}{15 x^{6}}\)
Problem 38
Find the prime factorization of each composite number. 1280
Problem 39
Express each terminating decimal as a quotient of integers. If possible, reduce to lowest terms. \(0.4\)
Problem 39
Find the prime factorization of each composite number. 1996
