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Step-4

Title: Simplify

Grade: 6-b Lesson: S3-L6

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

Lesson Steps

Steps	Problem	Solution
1	Simplify	\$ (5/2)^2 × (2/5)^2 + 1/100 \$
2	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ 5^2/2^2 × 2^2/5^2 + 1/100 \$
3	By using BODMAS rule	\$ \cancel(5^2)/\cancel(2^2) × \cancel(2^2)/\cancel(5^2) + 1/100 \$
4	After cancellation we get	\$ 1 + 1/100 \$
5	Taking LCM as 9	\$ (100 + 1)/100 \$
6	After simplification we get	\$ 101/100 \$
7	Answer	C = \$ 101/100 \$

Steps

Problem

Solution

Simplify

\$ (5/2)^2 × (2/5)^2 + 1/100 \$

Using law of exponent \$(a/b)^n = a^n/b^n\$

\$ 5^2/2^2 × 2^2/5^2 + 1/100 \$

By using BODMAS rule

\$ \cancel(5^2)/\cancel(2^2) × \cancel(2^2)/\cancel(5^2) + 1/100 \$

After cancellation we get

\$ 1 + 1/100 \$

Taking LCM as 9

\$ (100 + 1)/100 \$

After simplification we get

\$ 101/100 \$

Answer

C = \$ 101/100 \$