Exponents and Radicals Practice

This video tutorial covers a range of mathematical topics for 9th-grade students, including exponentiation, negative and fractional exponents, simplification of roots, and scientific notation. The instructor provides step-by-step solutions to various problems, emphasizing the importance of understanding mathematical properties and operations. The tutorial aims to prepare students for their PTS exams by ensuring they grasp these fundamental concepts.

What is the result of multiplying 2^3 by 2^2?

• 64

• 32

• 16

• 8

What is the simplified form of 2^6 * 2^2?

• 2^8

• 2^12

• 2^4

• 2^10

How do you express 3^-1 as a positive exponent?

• 1/3

• 3^1

• 3

• -3

How do you express 2^-3 as a positive exponent?

• -8

• 8

• 1/2

• 1/8

What is the result of (-5)^3?

• 25

• -25

• -125

• 125

What is the result of 4^0?

• 4

• 1

• 0

• -1

Convert 0.0000475 into scientific notation.

• 4.75 x 10^-5

• 47.5 x 10^-6

• 4.75 x 10^5

• 0.475 x 10^-4

What is the simplified form of √12?

• 4√3

• 3√2

• 2√3

• √6

What is the result of 2√3 * √18 / √2?

• 3√3

• 6√2

• 6√3

• 3√6

What is the square root of 0.000049?

• 0.007

• 0.07

• 0.0007

• 0.00007