91Ó°ÊÓ

Rewrite the expression with positive exponents. $$(-10 a)^{0}$$

Write your answer as a power or as a product of powers. $$ (-y)^{3}(-y)^{4}(-y)^{5} $$

The volume of a sphere is given by \(V=\frac{4}{3} \pi r^{3},\) where \(r\) is the radius of the sphere. Assuming that the radius of the Moon is \(\frac{1}{4}\) the radius of Earth, find the ratio of the volume of Earth to the volume of the Moon. Let \(r\) represent the radius of Earth. (image cannot copy)

Does the graph of the function contain the point \((0,1) ?\) $$y=-3^{x}$$

SCIENTIFIC NOTATION IN REAL LIFE In Exercises \(53-57\), write the number in scientific notation. LIGHTNING The speed of a lightning bolt is \(120,000,000\) feet per second.

SCIENTIFIC NOTATION IN REAL LIFE In Exercises \(53-57\), write the number in scientific notation. WORLD POPULATION In \(1997,\) the population of the world was estimated at $$ 5,852,000,000 $$

SIZE OF JUPITER Jupiter, the largest planet in our solar system, has a radius of about \(4.4 \times 10^{4}\) miles. Use the equation \(V=\frac{4}{3} \pi r^{3}\) to find Jupiter's volume.

Suppose you did not know that for \(b \neq 0, b^{0}=1 .\) Based on the equation \(b^{2} \cdot b^{0}=b^{2+0}=b^{2},\) explain why you might want to make this definition.

PERCENTS AS DECIMALS Write the percent as a decimal. $$ 255 \% $$

PERCENTS AS DECIMALS Write the percent as a decimal. $$ 1 \frac{1}{4} \% $$