Question

Simplify the quotient. $$ \frac{5^{6}}{5^{3}} $$

   Simplify the quotient.
$$
\frac{5^{6}}{5^{3}}
$$

Algebra 1: Concepts and Skills

Algebra 1: Concepts and Skills

Ron Larson, Laurie… 1st Edition

Chapter 8, Problem 25

Instant Answer

Solved by Expert Cory Kuzinski

04/18/2020

Step 1

According to the quotient of powers property, when we divide two powers with the same base, we subtract the exponents. Show more…

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Simplify the quotient. $$ \frac{5^{6}}{5^{3}} $$

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Key Concepts

Exponentiation

Exponentiation is a mathematical operation where a number (the base) is multiplied by itself a specified number of times (indicated by the exponent). It is fundamental in algebra and helps express repeated multiplication in a compact form.

Quotient Rule for Exponents

The quotient rule for exponents states that when dividing two exponential expressions with the same base, you subtract the exponent of the denominator from the exponent of the numerator. This rule is essential for simplifying expressions that involve division of powers.

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