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Math / Algebra / Grade 8 / ml8cc

Combine Powers with the Same Base - Practice 1

Multiplying powers of the same base joins their repeated factors, so add the exponents.

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Multiplying powers of the same base joins their repeated factors, so add the exponents. This is different from adding powers or multiplying the exponents.

Worked example

2^3 x 2^4 = 2^7 because three factors of 2 join four more factors of 2.

2^3 x 2^4 = 2^7 because three factors of 2 join four more factors of 2.
Worked model: 2^3 x 2^4 = 2^7 because three factors of 2 join four more factors of 2.
Question 1 Complete 5^1 x 5^3 = 5^n. What is n?
Question 2 Complete 5^2 x 5^3 = 5^n. What is n?
Question 3 Complete 5^3 x 5^3 = 5^n. What is n?
Question 4 Complete 5^4 x 5^3 = 5^n. What is n?
Question 5 Complete 5^5 x 5^3 = 5^n. What is n?