Question

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1. Complete these statements. Give an example and solution of each.

Whenever you divide two terms with the same base, you ______ the base and _______ the exponents.
Example:

Whenever you multiply two terms with the same base, you _________ the base and ___________ the exponents.
Example:

Answer 1

Whenever you divide two terms with the same base, you keep the base and subtract the exponents.

Example:

x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴

or

8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷

Whenever you multiply two terms with the same base, you keep the base and add the exponents.

Example:

x³ × x⁷ = x³⁺⁷ = x¹⁰

or

12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴