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Evaluate. Write your answer as a whole number or as a simplified fraction. $\newline$ $\frac{10^{6}}{10^{3}}=\square$

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Evaluate expressions using exponent rules

Full solution

Q. Evaluate. Write your answer as a whole number or as a simplified fraction.

\newline

\frac{10^{6}}{10^{3}}=\square

Identify base and exponents: Identify the base and the exponents. $\newline$ In the expression $(10^{6})/(10^{3})$ , $10$ is the base, $6$ is the exponent in the numerator, and $3$ is the exponent in the denominator. $\newline$ Base: $10$ $\newline$ Exponent in numerator: $6$ $\newline$ Exponent in denominator: $3$
Apply quotient rule: Apply the quotient rule for exponents. $\newline$ The quotient rule states that when dividing like bases with exponents, you subtract the exponent in the denominator from the exponent in the numerator. $\newline$ $(10^{6})/(10^{3}) = 10^{6-3}$
Perform subtraction of exponents: Perform the subtraction of the exponents. $10^{(6-3)} = 10^{3}$
Simplify the expression: Simplify the expression. $\newline$ $10^{3}$ is the same as $10$ multiplied by itself $3$ times. $\newline$ $10^{3} = 10 \times 10 \times 10 = 1000$

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