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Magazine Problem 29
Solve each equation and check. \(6^{2-x}=\left(\frac{1}{36}\right)^{2}\)
Problem 32
The formula \(A=P(1+r)^{t}\) expresses the amount \(A\) to which \(P\) dollars will increase if invested for \(t\) years at a rate of \(r\) per year. Find the amount to which \(\$ 2,400\) will increase when invested at 5\(\%\) for 10 years.
Problem 39
In \(38-57,\) write each radical expression as a power with positive exponents and express the answer in simplest form. The variables are positive numbers. $$ \sqrt{6} $$
Problem 41
In \(38-57,\) write each radical expression as a power with positive exponents and express the answer in simplest form. The variables are positive numbers. $$ \sqrt[3]{15} $$
Problem 46
In \(38-57,\) write each radical expression as a power with positive exponents and express the answer in simplest form. The variables are positive numbers. $$ \sqrt{25 a} $$
Problem 49
In \(38-57,\) write each radical expression as a power with positive exponents and express the answer in simplest form. The variables are positive numbers. $$ \frac{1}{2} \sqrt{18 a^{6} b^{2}} $$
Problem 50
In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ \frac{6}{a^{-4}} $$
Problem 51
In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ \frac{9 x^{2}}{a^{-3}} $$
Problem 53
In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ \frac{(2 a)^{-1}}{2(a)^{-2}} $$
Problem 54
In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ \frac{4 y^{-3}}{2 y^{-1}} $$
