Step-1

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

\$ (4^3\times7^2)/(2^6\times7) \$

2

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

\$ 4^3/2^6 \times 7^2/7 \$

\$ 4^3/2^6 \times 7^(2-1) \$

3

Converting '\$4\$' to

\$ (2^2)^3/2^6 \times 7^1 \$

4

After Simplification

\$2^6/2^6 \times 7 \$

\$ 2^(6-6) \times 7 \$

\$ 2^(0) \times 7 \$

\$ 1 \times 7 \$

\$ 7 \$

5

Answer

A = \$ 7 \$


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