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Step-1

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	\$ (9/2)^3 × (2/9)^4 + (2/9) \$
2	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ 9^3/2^3 × 2^4/9^4 + 2/9 \$
3	By using BODMAS rule	\$ \cancel9^3/\cancel2^3 × \cancel(2^4)^1/\cancel(9^4)^1 + 2/9 \$
4	After cancellation we get	\$ 2/9 + 2/9 \$
5	Taking LCM as 9	\$ (2 + 2)/9 \$
6	After simplification we get	\$ 4/9 \$
7	Answer	A = \$ 4/9 \$

Steps

Problem

Solution

Simplify

\$ (9/2)^3 × (2/9)^4 + (2/9) \$

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

\$ 9^3/2^3 × 2^4/9^4 + 2/9 \$

By using BODMAS rule

\$ \cancel9^3/\cancel2^3 × \cancel(2^4)^1/\cancel(9^4)^1 + 2/9 \$

After cancellation we get

\$ 2/9 + 2/9 \$

Taking LCM as 9

\$ (2 + 2)/9 \$

After simplification we get

\$ 4/9 \$

Answer

A = \$ 4/9 \$