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Step-5

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	\$ (3/6)^6 × (6/2)^5 + (2/3)\$
2	Using law of exponent \$(a/b)^n = a^n/b^n\$ and BODMAS rule	\$ (\cancel3^1/\cancel6^2)^6 × (\cancel6^3/\cancel2^1)^5 + 2/3 \$
3	After cancellation we get	\$ (1/2)^6 × 3^5 + 2/3 \$
4	After simplification we get	\$ 1/2^6 × 3^5 + 2/3 \$
5	After simplification we get	\$ 243/64 + 2/3 \$
6	Taking LCM as 192	\$ (729 + 128)/192 \$
7	After simplification we get	\$ 857/192 \$
8	Answer	D = \$ 857/192 \$

Steps

Problem

Solution

Simplify

\$ (3/6)^6 × (6/2)^5 + (2/3)\$

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

BODMAS rule

\$ (\cancel3^1/\cancel6^2)^6 × (\cancel6^3/\cancel2^1)^5 + 2/3 \$

After cancellation we get

\$ (1/2)^6 × 3^5 + 2/3 \$

After simplification we get

\$ 1/2^6 × 3^5 + 2/3 \$

After simplification we get

\$ 243/64 + 2/3 \$

Taking LCM as 192

\$ (729 + 128)/192 \$

After simplification we get

\$ 857/192 \$

Answer

D = \$ 857/192 \$