5.5k views
2 votes
27^6 divided by 9^5. Write in simplest index form. Thx.

User Wikichen
by
8.2k points

1 Answer

4 votes

Answer:

3⁸

Explanation:

27 = 3* 3 * 3 = 3³

9 = 3 * 3 = 3²

Write 27 and 9 with base 3.

Law of exponents:


\boxed{(a^m)^n=a^(m*n) \ and \ (a^m)/(a^n)=a^(m-n)}

In exponent division, if bases are same, subtract the exponents/index.


(27^6)/(9^5)=((3^3)^6)/((3^2)^5)


=(3^(3*6))/(3^(2*5))\\\\\\=(3^(18))/(3^(10))\\\\\\=3^(18-10)\\\\=3^(8)

User Shoover
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories