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Step-2

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	\$ (8/7)^1 × (8/7)^-2 + (6/7) \$
2	By using the formula \$(a/b)^-n = (b/a)^n\$	\$ 8/7 × (7/8)^2 + 6/7 \$
3	Using law of exponent \$(a/b)^n = a^n/b^n\$ and BODMAS rule	\$ \cancel8/\cancel7 × \cancel(7^2)^1/\cancel(8^2)^1 + 6/7 \$
4	After cancellation we get	\$ 7/8 + 6/7 \$
5	Taking LCM as 56	\$ (49 + 48)/56 \$
6	After simplification we get	\$ 97/56 \$
7	Answer	C = \$ 97/56 \$

Steps

Problem

Solution

Simplify

\$ (8/7)^1 × (8/7)^-2 + (6/7) \$

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

\$ 8/7 × (7/8)^2 + 6/7 \$

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

BODMAS rule

\$ \cancel8/\cancel7 × \cancel(7^2)^1/\cancel(8^2)^1 + 6/7 \$

After cancellation we get

\$ 7/8 + 6/7 \$

Taking LCM as 56

\$ (49 + 48)/56 \$

After simplification we get

\$ 97/56 \$

Answer

C = \$ 97/56 \$