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Step-5

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	\$ (20^20\times2^2)/(2^10\times10^10) \$
2	Using identity \$ a^m/a^n = a^(m-n) \$	\$ ((2\times10)^20\times2^2)/(2^15\times10^18) \$ \$ (2^20\times 10^20 \times 2^2)/(2^15\times10^18) \$ \$ 2^(20-15)\times 10^(20-18) \times 2^2 \$
3	After Simplification	\$2^5 \times 10^2 \times 2^2 \$
4	Using identity \$ a^m \times a^n = a^(m+n) \$	\$ 2^(5+2) \times 10^2 \$ \$ 2^7 \times 10^2 \$ \$ 128 \times 100 \$
5	Answer	B = \$ 12800 \$

Steps

Problem

Solution

Simplify

\$ (20^20\times2^2)/(2^10\times10^10) \$

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

\$ ((2\times10)^20\times2^2)/(2^15\times10^18) \$

\$ (2^20\times 10^20 \times 2^2)/(2^15\times10^18) \$

\$ 2^(20-15)\times 10^(20-18) \times 2^2 \$

After Simplification

\$2^5 \times 10^2 \times 2^2 \$

Using identity \$ a^m \times a^n = a^(m+n) \$

\$ 2^(5+2) \times 10^2 \$

\$ 2^7 \times 10^2 \$

\$ 128 \times 100 \$

Answer

B = \$ 12800 \$