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In this lesson, we will learn how to convert exponents to repeated multiplication expressions and how to evaluate them.

Q1:

What is 4 1 1 × 4 1 1 × 4 1 1 × 4 1 1 × 4 1 1 × 4 1 1 × 4 1 1 ?

Q2:

Write 5 × 5 × 5 × 5 using an exponent, and then find its value.

Q3:

There are nearly 3 5 species of monkeys on Earth. What is the value of 3 5 ?

Q4:

Shady scored points in a board game, and Adel scored points. Determine who won the game and by how many points.

Q5:

Express 7 × 7 × 7 × 4 × 4 × 4 × 4 in exponential form.

Q6:

Which of the following is equivalent to 7 ⋅ 1 0 4 6 ?

Q7:

A football stadium has 1 6 4 seats, and a cricket stadium has 5 7 seats. Which stadium has more seats? How many more?

Q8:

If a library has 9 books, how many books are there?

Q9:

The number of calories in one croissant can be expressed as 6 3 . Determine the whole number that represents 6 3 .

Q10:

If Sally zooms out three times on an interactive map, the scale is 1 0 3 times greater. Write this number in standard form.

Q11:

The sun is about 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 1 0 m i l e s away from the earth. Write the distance in exponential form and then evaluate it, giving your answer in millions of miles.

Q12:

The length of one sidereal day on Venus is 3 5 Earth days. Express this as a product and then evaluate it to find the number of Earth days in one sidereal Venus day.

Q13:

Which of the following is a number between 8,000 and 9,000 that can be written as 𝑎 for whole numbers 𝑎 and 𝑏 ?

Q14:

Write three to the fourth power as a product of the same factor, and then determine its value.

Q15:

Which of the following sets of numbers has square roots between 7 and 8?

Q16:

A single tusk that weighed about 2 pounds from an African elephant is the largest tooth ever recorded from any modern animal. About how many pounds did the tusk weigh?

Q17:

The given figure shows a pattern with a corresponding value for each of its elements. Determine the value that represents the twenty-sixth element in the pattern.

Q18:

The diameter of Mars is about kilometres. Express this as a product and then evaluate it to find the approximate diameter of Mars.

Q19:

Is it true that 3 < 1 2 1 1 ?

Q20:

Given that a cube has length, width, and height equal to 8 inches, write a multiplication expression for its volume and then write your answer in exponential form.

Hint: The volume of a cube is found by multiplying together the length, width, and height.

Q21:

An estimated 1 0 people live in Charleston, South Carolina. About how many people live in Charleston?

Q22:

Which of the following is equal to 3 2 ?

Q23:

In a year, about 1 0 youths across the United States participated in projects to care for the Earth’s environment. What is 1 0 ?

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