Problem 52
Write each expression without using exponents. $$(-2 y)^{4}$$
Problem 52
Find each product. $$(2 b-1)(3 b+4)$$
Problem 62
Distance to Venus The distance from Venus to the Sun is approximately \(6.7 \times 10^{7} .\) Write this number in standard notation.
Problem 63
Length of one meter One meter is approximately 0.00622 mile. Write this number in scientific notation.
Problem 63
Perform each division. If there is a remainder, leave the answer in quotient \(+\frac{\text { remainder }}{\text { divisor }}\) form. Assume no division by \(0 .\) $$\frac{x^{3}+3 x^{2}+3 x+1}{x+1}$$
Problem 65
Simplify each expression. $$(2 x-3)(x+1)-5 x(x+2)$$
Problem 67
Simplify. $$a^{3} a^{4} a^{5}$$
Problem 70
Find each product. $$(a+3)^{2}$$
Problem 70
Simplify each expression and write the result without using parentheses or negative exponents. Assume no variable base is 0. $$3^{-4} \cdot 3^{5} \cdot 3^{-3}$$
Problem 74
Simplify each expression and write the result without using parentheses or negative exponents. Assume no variable base is 0. $$\frac{5^{-2} \cdot 5^{-4}}{5^{-6}}$$