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Step-4

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	\$ (3/2)^6 × (2)^8 \$
2	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ 3^6 /\cancel(2^6) × \cancel(2^8)^1 \$
3	After cancellation we get	\$ 3^6 × 2^2 \$
4	After simplification we get	\$ 729 × 4 \$
5	After multiplication we get	2916
6	Answer	D = 2916

Steps

Problem

Solution

Simplify

\$ (3/2)^6 × (2)^8 \$

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

\$ 3^6 /\cancel(2^6) × \cancel(2^8)^1 \$

After cancellation we get

\$ 3^6 × 2^2 \$

After simplification we get

\$ 729 × 4 \$

After multiplication we get

2916

Answer

D = 2916