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Questions and Answers
Which property allows us to simplify the expression X^4 * X^5 to X^9?
Which property allows us to simplify the expression X^4 * X^5 to X^9?
What is the result of dividing X^7 by X^3?
What is the result of dividing X^7 by X^3?
What is the product of X^3 raised to the power of 4?
What is the product of X^3 raised to the power of 4?
What is the result of multiplying X^4 by X^0?
What is the result of multiplying X^4 by X^0?
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What is the simplified expression of X^5 * X^(-2)?
What is the simplified expression of X^5 * X^(-2)?
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Study Notes
Exponent Rules
- The property of exponentiation that allows us to simplify the expression X^4 * X^5 to X^9 is the product of powers rule, which states that when multiplying two expressions with the same base, we add the exponents.
- Dividing X^7 by X^3 results in X^4, as per the quotient of powers rule, which states that when dividing two expressions with the same base, we subtract the exponents.
- The product of X^3 raised to the power of 4 is X^12, as per the power of a power rule, which states that when raising a power to another power, we multiply the exponents.
- Multiplying X^4 by X^0 results in X^4, since any base raised to the power of 0 is 1, and multiplying by 1 does not change the value.
- The simplified expression of X^5 * X^(-2) is X^3, as per the product of powers rule, and the fact that negative exponents represent reciprocals.
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Description
Test your knowledge on simplifying exponents by answering questions about basic properties and understanding how to add exponents when multiplying with a common base.
