Exploring Radicals and Exponents for 8th Grade Math

The video tutorial covers the basics of radicals and integer exponents, explaining key rules for multiplying, dividing, and handling negative exponents. It also delves into scientific notation, perfect squares, and cube roots, providing practical examples and shortcuts. The tutorial emphasizes the use of PEMDAS in solving exponent problems, offering a comprehensive guide to understanding and applying these mathematical concepts.

What operation should be performed when multiplying terms with the same base?

• Subtract the exponents

• Add the exponents

• Multiply the bases

• None of the above

What is the result of dividing terms with the same base?

• Divide the bases

• Multiply the exponents

• Subtract the exponents

• Add the exponents

How do you handle a negative exponent?

• Flip the base to the opposite side of the fraction

• None of the above

• Multiply the exponent by -1

• Add 1 to the exponent

When you have a power to a power, what should you do with the exponents?

• Divide them

• Multiply them

• Subtract them

• Add them

What is the correct way to convert a number into scientific notation?

• Divide the number by 10

• Place the decimal after the first digit and adjust the exponent

• None of the above

• Multiply the number by 10

How do you calculate the cube root of a number using a calculator?

• Use the square root function

• Use the exponent function

• None of the above

• Use the cube root function

What is the square root of 81?

• 9

• 10

• 7

• 8

What does PEMDAS stand for?

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Please Excuse My Dear Aunt Sally

• None of the above

• Both A and B

If you have 2 to the power of -4, what is the equivalent positive exponent expression?

• 1 over 2 to the power of 4

• 4 to the power of 2

• 2 to the power of 4

• None of the above

What is the standard notation for 3.8 times 10 to the fifth?

• 380000

• 38000

• 3800

• 380