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Step-3

Title: Simplify

Grade: 7-b Lesson: S2-L10

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Steps	Problem	Solution
1	Simplify	\$ (3^5\times5^3)/(6^3\times5) \$
2	Using identity \$ a^m/a^n = a^(m-n) \$	\$ (3^5\times5^3)/((2\times3)^3\times5)\$ \$=> (3^5\times5^3)/((2^3\times3^3\times5)) \$ \$=> (3^(5-3)\times5^(3-1))/(2^3) \$
3	After Simplification	\$ (3^2 \times5^2)/(2^3) \$ \$=> (9 \times 25)/(8) \$ \$=> 225/8 \$
4	Answer	C = \$ 225/8 \$

Steps

Problem

Solution

Simplify

\$ (3^5\times5^3)/(6^3\times5) \$

Using identity \$ a^m/a^n = a^(m-n) \$

\$ (3^5\times5^3)/((2\times3)^3\times5)\$

\$=> (3^5\times5^3)/((2^3\times3^3\times5)) \$

\$=> (3^(5-3)\times5^(3-1))/(2^3) \$

After Simplification

\$ (3^2 \times5^2)/(2^3) \$

\$=> (9 \times 25)/(8) \$

\$=> 225/8 \$

Answer

C = \$ 225/8 \$