Exponent Rules and Simplification

The video tutorial explains how to break down numbers into prime factors using a calculator, apply exponent rules, and simplify expressions. It guides through using a Casio calculator to factorize numbers, applying exponent rules to combine and simplify expressions, and concludes with a final simplified result.

What is the prime factorization of 10?

• 5 x 5

• 2 x 2

• 3 x 3

• 2 x 5

Which button on a Casio calculator helps in finding the prime factors?

• Mode

• Shift

• Fact

• Alpha

What is the result of multiplying exponents with the same base?

• Add the exponents

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

How do you simplify 2^3 x 2^2?

• 2^5

• 2^6

• 2^4

• 2^1

What is the simplified form of 5^(2x+3) / 5^(4+2x)?

• 5^2

• 5^1

• 5^-1

• 5^0

What happens to the exponents when dividing terms with the same base?

• Add them

• Multiply them

• Subtract them

• Divide them

How do you handle negative exponents in a fraction?

• Leave them as is

• Move them to the denominator

• Add 1 to them

• Multiply by -1

What is 2^5 in numerical form?

• 16

• 32

• 128

• 64

What is the final simplified form of the expression given in the video?

• 8/5

• 64/5

• 16/5

• 32/5

What is the exponent rule for a^m / a^n?

• a^(m-n)

• a^(m*n)

• a^(m/n)

• a^(m+n)