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Step-2

Title: Simplify

Grade: 6-b Lesson: S3-L5

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

Lesson Steps

Steps	Problem	Solution
1	Simplify	\$ (9/2)^-2 × (9/4)^2 \$
2	By using the formula \$(a/b)^-n = (b/a)^n\$	\$ (2/9)^2 × (9/4)^2 \$
3	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ 2^2/\cancel(9^2) × \cancel(9^2)/(4^2) \$
4	After cancellation we get	\$ 2^2/4^2 \$
5	After simplification we get	\$ \cancel4^1/\cancel16^4 \$
6	After cancellation we get	\$ 1/4 \$
7	Answer	C = \$ 1/4 \$

Steps

Problem

Solution

Simplify

\$ (9/2)^-2 × (9/4)^2 \$

By using the formula \$(a/b)^-n = (b/a)^n\$

\$ (2/9)^2 × (9/4)^2 \$

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

\$ 2^2/\cancel(9^2) × \cancel(9^2)/(4^2) \$

After cancellation we get

\$ 2^2/4^2 \$

After simplification we get

\$ \cancel4^1/\cancel16^4 \$

After cancellation we get

\$ 1/4 \$

Answer

C = \$ 1/4 \$