GCSE Maths - How to Multiply and Divide Numbers With Powers (Powers Part 2/6) #30

The video tutorial explains how to multiply and divide numbers with powers, focusing on the importance of having the same base. It covers the rules for adding and subtracting exponents during multiplication and division, respectively. The tutorial includes examples with both letters and numbers as bases, and addresses negative and zero powers. It also provides practice questions to reinforce the concepts.

What is the key requirement for multiplying or dividing numbers with powers?

• The numbers must be integers.

• The numbers must be prime.

• The numbers must be even.

• The numbers must have the same base.

How do you simplify b^3 * b^2?

• b^5

• b^9

• b^6

• b^1

What is the result of a^6 / a^3?

• a^1

• a^2

• a^3

• a^9

When dividing powers, what operation do you perform on the exponents?

• Subtract them

• Divide them

• Multiply them

• Add them

How do you handle a negative exponent, such as in b^3 / b^8?

• Ignore the negative sign

• Add the exponents

• Subtract the exponents

• Multiply the exponents

What is the result of 3a^5 * 4a^3?

• 12a^8

• 7a^15

• 7a^8

• 12a^15

In the expression 8b^11 / 2b^5, what is the simplified form?

• 4b^6

• 16b^6

• 4b^16

• 16b^16