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Step-1

Title: Simplify

Grade: 6-b Lesson: S3-L4

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

Lesson Steps

Steps	Problem	Solution
1	Simplify	\$ (2/5)^2 × (5^4) \$
2	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ 2^2 /\cancel(5^2) × \cancel(5^4)^2 \$
3	After cancellation we get	\$ 2^2 × 5^2 \$
4	After simplification we get	\$ 4 × 25 \$
5	After multiplication we get	100
6	Answer	C = 100

Steps

Problem

Solution

Simplify

\$ (2/5)^2 × (5^4) \$

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

\$ 2^2 /\cancel(5^2) × \cancel(5^4)^2 \$

After cancellation we get

\$ 2^2 × 5^2 \$

After simplification we get

\$ 4 × 25 \$

After multiplication we get

100

Answer

C = 100