Simplify to a single power of 3 : (3^(7))/(3) Answer: 3^◻

Identify Base and Exponents: Identify the base and the exponents in the expression (3^(7))/(3). In (3^(7))/(3), the base for both the numerator and the denominator is 3. The exponent in the numerator is 7, and the exponent in the denominator is implied to be 1 since 3 is the same as 3^1.Apply Quotient Rule: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. (3^(7))/(3) = 3^(7-1)Perform Subtraction: Perform the subtraction in the exponent. 3^(7-1) = 3^6Write Final Expression: Write down the final simplified expression. The expression (3^(7))/(3) simplifies to 3^6.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify to a single power of 3 :

(3^(7))/(3)
Answer: 3^◻

Simplify to a single power of $3$ : $\newline$ $\frac{3^{7}}{3}$ $\newline$ Answer: $3 ^\square$

View step-by-step help

Home

Math Problems

Algebra 2

Evaluate rational exponents

Full solution

Q. Simplify to a single power of

3

\newline

\frac{3^{7}}{3}

\newline

Answer:

3 ^\square

Identify Base and Exponents: Identify the base and the exponents in the expression $(3^{7})/(3)$ . $\newline$ In $(3^{7})/(3)$ , the base for both the numerator and the denominator is $3$ . $\newline$ The exponent in the numerator is $7$ , and the exponent in the denominator is implied to be $1$ since $3$ is the same as $3^1$ .
Apply Quotient Rule: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. $\newline$ $(3^{7})/(3) = 3^{(7-1)}$
Perform Subtraction: Perform the subtraction in the exponent. $3^{7-1} = 3^6$
Write Final Expression: Write down the final simplified expression. $\newline$ The expression $(3^{7})/(3)$ simplifies to $3^6$ .