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Step-3

Title: Simplify

Grade: 6-b Lesson: S3-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Steps	Problem	Solution
1	Simplify	\$ (10/3)^-5 × (3/10)^-7 \$
2	By using the formula \$(a/b)^-n = (b/a)^n\$	\$ (3/10)^5 × (10/3)^7 \$
3	Using law of exponent \$(a/b)^n = a^n/b^n\$	\$ \cancel3^5/\cancel10^5 × \cancel(10^7)^2/\cancel(3^7)^2 \$
4	After cancellation we get	\$ 10^2/3^2 \$
5	After simplification we get	\$ 100/9 \$
6	Answer	B = \$ 100/9 \$

Steps

Problem

Solution

Simplify

\$ (10/3)^-5 × (3/10)^-7 \$

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

\$ (3/10)^5 × (10/3)^7 \$

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

\$ \cancel3^5/\cancel10^5 × \cancel(10^7)^2/\cancel(3^7)^2 \$

After cancellation we get

\$ 10^2/3^2 \$

After simplification we get

\$ 100/9 \$

Answer

B = \$ 100/9 \$