Simplifying Exponential Expressions

The video tutorial explains how to simplify a product of numbers into exponential form by grouping terms with the same base and combining their exponents. It further simplifies the expression by breaking down numbers into their prime factors and merging them to achieve the simplest exponential form.

What is the first step in simplifying the given expression?

• Group terms with the same base

• Combine all numbers into a single term

• Add all the numbers together

• Convert all numbers to decimals

How do you simplify 2^4 * 2^1?

• 2^6

• 2^4

• 2^5

• 2^3

What is the result of combining 6^1 * 6^1 * 6^2?

• 6^3

• 6^4

• 6^5

• 6^6

What does the term 'simplified exponential form' refer to?

• Expressing terms as decimals

• Converting all terms to fractions

• Expressing terms with the same base as a single term

• Combining all terms into a single number

How can 6^4 be expressed using prime factors?

• 3^4 * 4^4

• 2^2 * 3^2

• 2^3 * 3^3

• 2^4 * 3^4

What is the exponent property used when raising a product to a power?

• Multiply the exponents

• Add the exponents

• Divide the exponents

• Subtract the exponents

What is the result of 2^5 * 2^4?

• 2^11

• 2^8

• 2^10

• 2^9

How do you simplify 3^4 * 3^4?

• 3^6

• 3^7

• 3^9

• 3^8

What is the final simplified form of the expression?

• 2^9 * 3^8 * 7

• 2^8 * 3^9 * 7

• 2^9 * 3^7 * 7

• 2^8 * 3^8 * 7

Why is it beneficial to express terms in their prime factors?

• All of the above

• It helps in identifying common factors

• It reduces the number of terms

• It makes calculations easier