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Simplify. \( \frac{ \left( -5 \right) ^{2} \left( -5 \right) ^{-2}}{ \left( -5 \right) ^{-3}} \)
Simplify. \( \frac{ \left( -7 \right) ^{2}}{ \left( -7 \right) ^{-1}} \)
Simplify. \( \left( \left( 2^{-2} \right) ^{-1} \right) ^{-2} \)
Simplify. \( \left( 6^{3} \right) ^{-1} \)
Simplify. \( \left( \frac{x^{-2}}{y^{2}} \right) ^{3} \)
Simplify. \( \frac{x^{2}y^{-2}}{x^{-3}y^{3}} \)
One online seller has about \( 6 \times 10^{8} \) online orders, and another online seller has about \( 5 \times 10^{7} \) online orders. How many times more orders does the first company have?
Solve. \( x^{2}=121 \)
Simplify. \( 3^{3} \times 3^{-4} \times 3^{0} \)
Simplify. \( \left( 9x^{-2}y^{3} \right) ^{2} \)
Simplify. \( \left( \frac{x^{5}}{5} \right) ^{4} \)
The land area of Colorado about \( 1 \times 10^{5} \) square miles, and the land area of Ohio is about \( 4 \times 10^{4} \) square miles. How many times larger is the land area of Colorado?
The population of China is about \( 1 \times 10^{9} \) , and the population of the United States is about \( 3 \times 10^{8} \) . How many times larger is the population of China than the population of the United States?
The error in connecting two pipes for one house is \( 3 \times 10^{-5} \) meter, and the error in connecting two pipes for a second house is about \( 1 \times 10^{-6} \) meter. How many times larger is the error in the first house?
Solve. \( x^{3}=125 \)
Solve. \( x^{3}=343 \)
Solve. \( x^{2}=225 \)
Simplify. \( \left( \frac{xy^{0}}{z^{2}} \right) ^{2} \)
Simplify. \( \left( \frac{x^{3}y^{-2}}{x^{-2}y^{3}} \right) ^{5} \)
Simplify. \( \left( x^{2}y^{3}z^{-1} \right) ^{3} \)
Simplify. \( 5^{6} \times 5^{-3} \)
The error on one manufacturing machine is \( 2 \times 10^{-4} \) , and the error on a second machine is \( 8 \times 10^{-5} \) . How many times larger is the error on the first machine?
A lysosome has a length of \( 1 \times 10^{-6} \) meter, and measles virus has a length of \( 2 \times 10^{-9} \) meter. How many times longer is the lysosome?
One cell has a diameter of \( 5 \times 10^{-8} \) meter, and another cell has a diameter of \( 6 \times 10^{-9} \) meter. How many times larger is the first cell?
Simplify. \( \left( 4x^{3} \right) ^{2} \)
Simplify. \( \left( 2x^{2} \right) ^{4} \)
One athlete had a salary of about \( 3 \times 10^{7} \) dollars per year and another athlete had a salary of about \( 2 \times 10^{6}~ \) dollars per year. How many times larger is the salary of the first athlete?
A red blood cell has a length of \( 8 \times 10^{-6} \) meter, and a skin cell has a length of \( 3 \times 10^{-5} \) meter. How many times larger is the skin cell?
The landmass of the United States is about \( 4 \times 10^{6} \) square miles, and the landmass of Alaska is about \( 7 \times 10^{5} \) square miles. How many times larger is the landmass of the United States than the landmass of Alaska?
Simplify. \( \left( 3^{2} \right) ^{3} \)
Simplify. \( \left( \frac{x^{0}}{y^{-2}} \right) ^{2} \)