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Step-4

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	\$ (8^5\times6^3)/(16^2\times3^2) \$
2	Using identity \$ a^m/a^n = a^(m-n) \$	\$ (8^5\times(2\times3)^3)/((8\times2)^2\times3^2) \$ \$ (8^5\times 2^3 \times 3^3)/((8^2\times2^2\times3^2) \$ \$ 8^(5-2)\times 2^(3-2) \times 3^(3-2) \$
3	After Simplification	\$8^3\times 2^1 \times 3^1 \$ \$ 512 \times 2 \times 3 \$ \$ 512 \times 6 \$ \$ 3072 \$
4	Answer	B = \$ 3072 \$

Steps

Problem

Solution

Simplify

\$ (8^5\times6^3)/(16^2\times3^2) \$

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

\$ (8^5\times(2\times3)^3)/((8\times2)^2\times3^2) \$

\$ (8^5\times 2^3 \times 3^3)/((8^2\times2^2\times3^2) \$

\$ 8^(5-2)\times 2^(3-2) \times 3^(3-2) \$

After Simplification

\$8^3\times 2^1 \times 3^1 \$

\$ 512 \times 2 \times 3 \$

\$ 512 \times 6 \$

\$ 3072 \$

Answer

B = \$ 3072 \$