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Step-5

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	\$ (4/7)^5 × (7)^6 \$
2	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ 4^5 /\cancel(7^5) × \cancel(7^6)^1 \$
3	After cancellation we get	\$ 4^5 × 7^1 \$
4	After simplification we get	\$ 1024 × 7 \$
5	After multiplication we get	7168
6	Answer	C = 7168

Steps

Problem

Solution

Simplify

\$ (4/7)^5 × (7)^6 \$

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

\$ 4^5 /\cancel(7^5) × \cancel(7^6)^1 \$

After cancellation we get

\$ 4^5 × 7^1 \$

After simplification we get

\$ 1024 × 7 \$

After multiplication we get

7168

Answer

C = 7168