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Exponent Laws in Algebra 1

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Questions and Answers

What is the zero-exponent rule?

To raise a power to a power you need to add the exponents.

To raise a power to a power you need to multiply the exponents. (correct)

To raise a power to a power you need to divide the exponents.

To raise a power to a power you need to subtract the exponents.

What happens to negative exponents in the numerator?

They get moved to the denominator and become positive exponents.

What is the negative exponent rule?

Negative exponents in the numerator get moved to the denominator and become positive exponents.

What does the product rule state?

<p>To multiply two exponents with the same base, you keep the base and add the powers.</p> Signup and view all the answers

What is the quotient rule?

<p>To divide two exponents with the same base, you keep the base and subtract the powers.</p> Signup and view all the answers

Study Notes

Exponent Laws in Algebra 1

Zero-Exponent Rule: Any non-zero base raised to the zero power equals one (a^0 = 1).
Powers to Power:
- When raising a power to another power, multiply the exponents (a^m)^n = a^(m*n).
- Negative exponents indicate reciprocal placement; a^(-m) moves to the denominator or numerator as a positive exponent.
Negative Exponent Rule:
- Negative exponents signify that the base should be moved to the opposite part of the fraction, converting to a positive exponent (e.g., x^(-n) = 1/x^n).
- Only negative exponents are relocated, simplifying the expression without changing other factors.
Product Rule:
- When multiplying two exponentials with the same base, maintain the base and add the exponents (a^m * a^n = a^(m+n)).
Quotient Rule:
- When dividing two exponentials sharing the same base, retain the base and subtract the exponents (a^m / a^n = a^(m-n)).

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Description

Test your understanding of the laws of exponents in Algebra 1. This quiz covers key rules such as the zero-exponent rule, negative exponents, and the product and quotient rules. Sharpen your algebra skills and excel in your mathematics studies!